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Finding the Third Proportional to 182,053.13 and 282,664.13

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Solution

The third proportional to 182,053.13 and 282,664.13 is: 438,877.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,053.13 : 282,664.13 = 282,664.13 : x
  2. Step 2: Convert to fraction form
    182,053.13/282,664.13 = 282,664.13/x
  3. Step 3: Cross multiply
    182,053.13x = 282,664.13 × 282,664.13
  4. Step 4: Simplify right side
    182,053.13x = 79,899,007,562.02
  5. Step 5: Solve for x
    x = 79,899,007,562.02/182,053.13
  6. Step 6: Final answer
    x = 438,877.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.