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Finding the Third Proportional to 82,298.95 and 176,874.47

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Solution

The third proportional to 82,298.95 and 176,874.47 is: 380,133.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,298.95 : 176,874.47 = 176,874.47 : x
  2. Step 2: Convert to fraction form
    82,298.95/176,874.47 = 176,874.47/x
  3. Step 3: Cross multiply
    82,298.95x = 176,874.47 × 176,874.47
  4. Step 4: Simplify right side
    82,298.95x = 31,284,577,695.59
  5. Step 5: Solve for x
    x = 31,284,577,695.59/82,298.95
  6. Step 6: Final answer
    x = 380,133.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.