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Finding the Third Proportional to 136,029 and 291,714

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Solution

The third proportional to 136,029 and 291,714 is: 625,580.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,029 : 291,714 = 291,714 : x
  2. Step 2: Convert to fraction form
    136,029/291,714 = 291,714/x
  3. Step 3: Cross multiply
    136,029x = 291,714 × 291,714
  4. Step 4: Simplify right side
    136,029x = 85,097,057,796
  5. Step 5: Solve for x
    x = 85,097,057,796/136,029
  6. Step 6: Final answer
    x = 625,580.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.