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Finding the Third Proportional to 312,199.50 and 464,842.50

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Solution

The third proportional to 312,199.50 and 464,842.50 is: 692,116.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,199.50 : 464,842.50 = 464,842.50 : x
  2. Step 2: Convert to fraction form
    312,199.50/464,842.50 = 464,842.50/x
  3. Step 3: Cross multiply
    312,199.50x = 464,842.50 × 464,842.50
  4. Step 4: Simplify right side
    312,199.50x = 216,078,549,806.25
  5. Step 5: Solve for x
    x = 216,078,549,806.25/312,199.50
  6. Step 6: Final answer
    x = 692,116.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.