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Finding the Third Proportional to 82,732.64 and 178,587.28

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Solution

The third proportional to 82,732.64 and 178,587.28 is: 385,499.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,732.64 : 178,587.28 = 178,587.28 : x
  2. Step 2: Convert to fraction form
    82,732.64/178,587.28 = 178,587.28/x
  3. Step 3: Cross multiply
    82,732.64x = 178,587.28 × 178,587.28
  4. Step 4: Simplify right side
    82,732.64x = 31,893,417,024.27
  5. Step 5: Solve for x
    x = 31,893,417,024.27/82,732.64
  6. Step 6: Final answer
    x = 385,499.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.