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Finding the Third Proportional to 82,437 and 176,535

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Solution

The third proportional to 82,437 and 176,535 is: 378,041.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,437 : 176,535 = 176,535 : x
  2. Step 2: Convert to fraction form
    82,437/176,535 = 176,535/x
  3. Step 3: Cross multiply
    82,437x = 176,535 × 176,535
  4. Step 4: Simplify right side
    82,437x = 31,164,606,225
  5. Step 5: Solve for x
    x = 31,164,606,225/82,437
  6. Step 6: Final answer
    x = 378,041.49

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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.