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Finding the Third Proportional to 134,044.88 and 291,417.75

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Solution

The third proportional to 134,044.88 and 291,417.75 is: 633,551.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,044.88 : 291,417.75 = 291,417.75 : x
  2. Step 2: Convert to fraction form
    134,044.88/291,417.75 = 291,417.75/x
  3. Step 3: Cross multiply
    134,044.88x = 291,417.75 × 291,417.75
  4. Step 4: Simplify right side
    134,044.88x = 84,924,305,015.06
  5. Step 5: Solve for x
    x = 84,924,305,015.06/134,044.88
  6. Step 6: Final answer
    x = 633,551.30

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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.