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Finding the Third Proportional to 126,632 and 200,518.50

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Solution

The third proportional to 126,632 and 200,518.50 is: 317,515.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,632 : 200,518.50 = 200,518.50 : x
  2. Step 2: Convert to fraction form
    126,632/200,518.50 = 200,518.50/x
  3. Step 3: Cross multiply
    126,632x = 200,518.50 × 200,518.50
  4. Step 4: Simplify right side
    126,632x = 40,207,668,842.25
  5. Step 5: Solve for x
    x = 40,207,668,842.25/126,632
  6. Step 6: Final answer
    x = 317,515.86

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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.