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Finding the Third Proportional to 238,306.50 and 493,132.50

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Solution

The third proportional to 238,306.50 and 493,132.50 is: 1,020,449.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,306.50 : 493,132.50 = 493,132.50 : x
  2. Step 2: Convert to fraction form
    238,306.50/493,132.50 = 493,132.50/x
  3. Step 3: Cross multiply
    238,306.50x = 493,132.50 × 493,132.50
  4. Step 4: Simplify right side
    238,306.50x = 243,179,662,556.25
  5. Step 5: Solve for x
    x = 243,179,662,556.25/238,306.50
  6. Step 6: Final answer
    x = 1,020,449.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.