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Finding the Third Proportional to 129,470 and 200,925.50

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Solution

The third proportional to 129,470 and 200,925.50 is: 311,817.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,470 : 200,925.50 = 200,925.50 : x
  2. Step 2: Convert to fraction form
    129,470/200,925.50 = 200,925.50/x
  3. Step 3: Cross multiply
    129,470x = 200,925.50 × 200,925.50
  4. Step 4: Simplify right side
    129,470x = 40,371,056,550.25
  5. Step 5: Solve for x
    x = 40,371,056,550.25/129,470
  6. Step 6: Final answer
    x = 311,817.85

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