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Finding the Third Proportional to 202,312.69 and 314,335.69

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Solution

The third proportional to 202,312.69 and 314,335.69 is: 488,387.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,312.69 : 314,335.69 = 314,335.69 : x
  2. Step 2: Convert to fraction form
    202,312.69/314,335.69 = 314,335.69/x
  3. Step 3: Cross multiply
    202,312.69x = 314,335.69 × 314,335.69
  4. Step 4: Simplify right side
    202,312.69x = 98,806,924,436.10
  5. Step 5: Solve for x
    x = 98,806,924,436.10/202,312.69
  6. Step 6: Final answer
    x = 488,387.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.