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Finding the Third Proportional to 132,473.81 and 286,939.13

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Solution

The third proportional to 132,473.81 and 286,939.13 is: 621,511.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,473.81 : 286,939.13 = 286,939.13 : x
  2. Step 2: Convert to fraction form
    132,473.81/286,939.13 = 286,939.13/x
  3. Step 3: Cross multiply
    132,473.81x = 286,939.13 × 286,939.13
  4. Step 4: Simplify right side
    132,473.81x = 82,334,061,455.77
  5. Step 5: Solve for x
    x = 82,334,061,455.77/132,473.81
  6. Step 6: Final answer
    x = 621,511.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.