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Finding the Third Proportional to 76,339.13 and 166,821.38

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Solution

The third proportional to 76,339.13 and 166,821.38 is: 364,549.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,339.13 : 166,821.38 = 166,821.38 : x
  2. Step 2: Convert to fraction form
    76,339.13/166,821.38 = 166,821.38/x
  3. Step 3: Cross multiply
    76,339.13x = 166,821.38 × 166,821.38
  4. Step 4: Simplify right side
    76,339.13x = 27,829,371,156.89
  5. Step 5: Solve for x
    x = 27,829,371,156.89/76,339.13
  6. Step 6: Final answer
    x = 364,549.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.