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Finding the Third Proportional to 134,654 and 291,595

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Solution

The third proportional to 134,654 and 291,595 is: 631,452.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,654 : 291,595 = 291,595 : x
  2. Step 2: Convert to fraction form
    134,654/291,595 = 291,595/x
  3. Step 3: Cross multiply
    134,654x = 291,595 × 291,595
  4. Step 4: Simplify right side
    134,654x = 85,027,644,025
  5. Step 5: Solve for x
    x = 85,027,644,025/134,654
  6. Step 6: Final answer
    x = 631,452.79

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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.