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Finding the Third Proportional to 107,473 and 252,791

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Solution

The third proportional to 107,473 and 252,791 is: 594,598.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,473 : 252,791 = 252,791 : x
  2. Step 2: Convert to fraction form
    107,473/252,791 = 252,791/x
  3. Step 3: Cross multiply
    107,473x = 252,791 × 252,791
  4. Step 4: Simplify right side
    107,473x = 63,903,289,681
  5. Step 5: Solve for x
    x = 63,903,289,681/107,473
  6. Step 6: Final answer
    x = 594,598.55

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.