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Finding the Third Proportional to 129,702.75 and 200,308.50

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Solution

The third proportional to 129,702.75 and 200,308.50 is: 309,349.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,702.75 : 200,308.50 = 200,308.50 : x
  2. Step 2: Convert to fraction form
    129,702.75/200,308.50 = 200,308.50/x
  3. Step 3: Cross multiply
    129,702.75x = 200,308.50 × 200,308.50
  4. Step 4: Simplify right side
    129,702.75x = 40,123,495,172.25
  5. Step 5: Solve for x
    x = 40,123,495,172.25/129,702.75
  6. Step 6: Final answer
    x = 309,349.61

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.