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Finding the Third Proportional to 82,468.13 and 176,599.13

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Solution

The third proportional to 82,468.13 and 176,599.13 is: 378,173.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,468.13 : 176,599.13 = 176,599.13 : x
  2. Step 2: Convert to fraction form
    82,468.13/176,599.13 = 176,599.13/x
  3. Step 3: Cross multiply
    82,468.13x = 176,599.13 × 176,599.13
  4. Step 4: Simplify right side
    82,468.13x = 31,187,250,950.77
  5. Step 5: Solve for x
    x = 31,187,250,950.77/82,468.13
  6. Step 6: Final answer
    x = 378,173.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.