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Finding the Third Proportional to 207,952 and 297,382

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Solution

The third proportional to 207,952 and 297,382 is: 425,271.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,952 : 297,382 = 297,382 : x
  2. Step 2: Convert to fraction form
    207,952/297,382 = 297,382/x
  3. Step 3: Cross multiply
    207,952x = 297,382 × 297,382
  4. Step 4: Simplify right side
    207,952x = 88,436,053,924
  5. Step 5: Solve for x
    x = 88,436,053,924/207,952
  6. Step 6: Final answer
    x = 425,271.48

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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.