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Finding the Third Proportional to 134,645 and 291,577

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Solution

The third proportional to 134,645 and 291,577 is: 631,417.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,645 : 291,577 = 291,577 : x
  2. Step 2: Convert to fraction form
    134,645/291,577 = 291,577/x
  3. Step 3: Cross multiply
    134,645x = 291,577 × 291,577
  4. Step 4: Simplify right side
    134,645x = 85,017,146,929
  5. Step 5: Solve for x
    x = 85,017,146,929/134,645
  6. Step 6: Final answer
    x = 631,417.04

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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.