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Finding the Third Proportional to 134,564 and 292,424

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Solution

The third proportional to 134,564 and 292,424 is: 635,473.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,564 : 292,424 = 292,424 : x
  2. Step 2: Convert to fraction form
    134,564/292,424 = 292,424/x
  3. Step 3: Cross multiply
    134,564x = 292,424 × 292,424
  4. Step 4: Simplify right side
    134,564x = 85,511,795,776
  5. Step 5: Solve for x
    x = 85,511,795,776/134,564
  6. Step 6: Final answer
    x = 635,473.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.