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Finding the Third Proportional to 134,494 and 291,254

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Solution

The third proportional to 134,494 and 291,254 is: 630,726.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,494 : 291,254 = 291,254 : x
  2. Step 2: Convert to fraction form
    134,494/291,254 = 291,254/x
  3. Step 3: Cross multiply
    134,494x = 291,254 × 291,254
  4. Step 4: Simplify right side
    134,494x = 84,828,892,516
  5. Step 5: Solve for x
    x = 84,828,892,516/134,494
  6. Step 6: Final answer
    x = 630,726.22

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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.