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Finding the Third Proportional to 134,900 and 291,413

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Solution

The third proportional to 134,900 and 291,413 is: 629,514.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,900 : 291,413 = 291,413 : x
  2. Step 2: Convert to fraction form
    134,900/291,413 = 291,413/x
  3. Step 3: Cross multiply
    134,900x = 291,413 × 291,413
  4. Step 4: Simplify right side
    134,900x = 84,921,536,569
  5. Step 5: Solve for x
    x = 84,921,536,569/134,900
  6. Step 6: Final answer
    x = 629,514.73

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.