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Finding the Third Proportional to 132,381.84 and 202,502.53

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Solution

The third proportional to 132,381.84 and 202,502.53 is: 309,765.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,381.84 : 202,502.53 = 202,502.53 : x
  2. Step 2: Convert to fraction form
    132,381.84/202,502.53 = 202,502.53/x
  3. Step 3: Cross multiply
    132,381.84x = 202,502.53 × 202,502.53
  4. Step 4: Simplify right side
    132,381.84x = 41,007,275,162.66
  5. Step 5: Solve for x
    x = 41,007,275,162.66/132,381.84
  6. Step 6: Final answer
    x = 309,765.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.