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Finding the Third Proportional to 182,687.06 and 286,981.31

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Solution

The third proportional to 182,687.06 and 286,981.31 is: 450,816.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,687.06 : 286,981.31 = 286,981.31 : x
  2. Step 2: Convert to fraction form
    182,687.06/286,981.31 = 286,981.31/x
  3. Step 3: Cross multiply
    182,687.06x = 286,981.31 × 286,981.31
  4. Step 4: Simplify right side
    182,687.06x = 82,358,273,724.22
  5. Step 5: Solve for x
    x = 82,358,273,724.22/182,687.06
  6. Step 6: Final answer
    x = 450,816.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.