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Finding the Third Proportional to 84,612.38 and 176,316.75

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Solution

The third proportional to 84,612.38 and 176,316.75 is: 367,411.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,612.38 : 176,316.75 = 176,316.75 : x
  2. Step 2: Convert to fraction form
    84,612.38/176,316.75 = 176,316.75/x
  3. Step 3: Cross multiply
    84,612.38x = 176,316.75 × 176,316.75
  4. Step 4: Simplify right side
    84,612.38x = 31,087,596,330.56
  5. Step 5: Solve for x
    x = 31,087,596,330.56/84,612.38
  6. Step 6: Final answer
    x = 367,411.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.