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Finding the Third Proportional to 132,816.38 and 207,166.78

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Solution

The third proportional to 132,816.38 and 207,166.78 is: 323,138.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,816.38 : 207,166.78 = 207,166.78 : x
  2. Step 2: Convert to fraction form
    132,816.38/207,166.78 = 207,166.78/x
  3. Step 3: Cross multiply
    132,816.38x = 207,166.78 × 207,166.78
  4. Step 4: Simplify right side
    132,816.38x = 42,918,075,253.49
  5. Step 5: Solve for x
    x = 42,918,075,253.49/132,816.38
  6. Step 6: Final answer
    x = 323,138.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.