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Finding the Third Proportional to 207,963 and 297,397.50

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Solution

The third proportional to 207,963 and 297,397.50 is: 425,293.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,963 : 297,397.50 = 297,397.50 : x
  2. Step 2: Convert to fraction form
    207,963/297,397.50 = 297,397.50/x
  3. Step 3: Cross multiply
    207,963x = 297,397.50 × 297,397.50
  4. Step 4: Simplify right side
    207,963x = 88,445,273,006.25
  5. Step 5: Solve for x
    x = 88,445,273,006.25/207,963
  6. Step 6: Final answer
    x = 425,293.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.