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Finding the Third Proportional to 126,607.50 and 200,482

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Solution

The third proportional to 126,607.50 and 200,482 is: 317,461.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,607.50 : 200,482 = 200,482 : x
  2. Step 2: Convert to fraction form
    126,607.50/200,482 = 200,482/x
  3. Step 3: Cross multiply
    126,607.50x = 200,482 × 200,482
  4. Step 4: Simplify right side
    126,607.50x = 40,193,032,324
  5. Step 5: Solve for x
    x = 40,193,032,324/126,607.50
  6. Step 6: Final answer
    x = 317,461.70

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.