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Finding the Third Proportional to 131,031 and 272,430

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Solution

The third proportional to 131,031 and 272,430 is: 566,416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,031 : 272,430 = 272,430 : x
  2. Step 2: Convert to fraction form
    131,031/272,430 = 272,430/x
  3. Step 3: Cross multiply
    131,031x = 272,430 × 272,430
  4. Step 4: Simplify right side
    131,031x = 74,218,104,900
  5. Step 5: Solve for x
    x = 74,218,104,900/131,031
  6. Step 6: Final answer
    x = 566,416.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.