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Finding the Third Proportional to 207,701 and 297,017

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Solution

The third proportional to 207,701 and 297,017 is: 424,740.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,701 : 297,017 = 297,017 : x
  2. Step 2: Convert to fraction form
    207,701/297,017 = 297,017/x
  3. Step 3: Cross multiply
    207,701x = 297,017 × 297,017
  4. Step 4: Simplify right side
    207,701x = 88,219,098,289
  5. Step 5: Solve for x
    x = 88,219,098,289/207,701
  6. Step 6: Final answer
    x = 424,740.85

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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.