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Finding the Third Proportional to 134,132 and 291,330

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Solution

The third proportional to 134,132 and 291,330 is: 632,758.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,132 : 291,330 = 291,330 : x
  2. Step 2: Convert to fraction form
    134,132/291,330 = 291,330/x
  3. Step 3: Cross multiply
    134,132x = 291,330 × 291,330
  4. Step 4: Simplify right side
    134,132x = 84,873,168,900
  5. Step 5: Solve for x
    x = 84,873,168,900/134,132
  6. Step 6: Final answer
    x = 632,758.54

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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.