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Finding the Third Proportional to 132,853.50 and 286,702.88

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Solution

The third proportional to 132,853.50 and 286,702.88 is: 618,715.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,853.50 : 286,702.88 = 286,702.88 : x
  2. Step 2: Convert to fraction form
    132,853.50/286,702.88 = 286,702.88/x
  3. Step 3: Cross multiply
    132,853.50x = 286,702.88 × 286,702.88
  4. Step 4: Simplify right side
    132,853.50x = 82,198,538,533.27
  5. Step 5: Solve for x
    x = 82,198,538,533.27/132,853.50
  6. Step 6: Final answer
    x = 618,715.64

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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.