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Finding the Third Proportional to 238,153.50 and 513,697.50

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Solution

The third proportional to 238,153.50 and 513,697.50 is: 1,108,046.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,153.50 : 513,697.50 = 513,697.50 : x
  2. Step 2: Convert to fraction form
    238,153.50/513,697.50 = 513,697.50/x
  3. Step 3: Cross multiply
    238,153.50x = 513,697.50 × 513,697.50
  4. Step 4: Simplify right side
    238,153.50x = 263,885,121,506.25
  5. Step 5: Solve for x
    x = 263,885,121,506.25/238,153.50
  6. Step 6: Final answer
    x = 1,108,046.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.