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Finding the Third Proportional to 151,516 and 329,559

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Solution

The third proportional to 151,516 and 329,559 is: 716,816.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,516 : 329,559 = 329,559 : x
  2. Step 2: Convert to fraction form
    151,516/329,559 = 329,559/x
  3. Step 3: Cross multiply
    151,516x = 329,559 × 329,559
  4. Step 4: Simplify right side
    151,516x = 108,609,134,481
  5. Step 5: Solve for x
    x = 108,609,134,481/151,516
  6. Step 6: Final answer
    x = 716,816.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.