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Finding the Third Proportional to 136,566 and 296,460

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Solution

The third proportional to 136,566 and 296,460 is: 643,560.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,566 : 296,460 = 296,460 : x
  2. Step 2: Convert to fraction form
    136,566/296,460 = 296,460/x
  3. Step 3: Cross multiply
    136,566x = 296,460 × 296,460
  4. Step 4: Simplify right side
    136,566x = 87,888,531,600
  5. Step 5: Solve for x
    x = 87,888,531,600/136,566
  6. Step 6: Final answer
    x = 643,560.85

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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.