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Finding the Third Proportional to 82,479.50 and 176,623

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Solution

The third proportional to 82,479.50 and 176,623 is: 378,223.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,479.50 : 176,623 = 176,623 : x
  2. Step 2: Convert to fraction form
    82,479.50/176,623 = 176,623/x
  3. Step 3: Cross multiply
    82,479.50x = 176,623 × 176,623
  4. Step 4: Simplify right side
    82,479.50x = 31,195,684,129
  5. Step 5: Solve for x
    x = 31,195,684,129/82,479.50
  6. Step 6: Final answer
    x = 378,223.49

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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.