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Finding the Third Proportional to 126,605 and 200,478.50

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Solution

The third proportional to 126,605 and 200,478.50 is: 317,456.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,605 : 200,478.50 = 200,478.50 : x
  2. Step 2: Convert to fraction form
    126,605/200,478.50 = 200,478.50/x
  3. Step 3: Cross multiply
    126,605x = 200,478.50 × 200,478.50
  4. Step 4: Simplify right side
    126,605x = 40,191,628,962.25
  5. Step 5: Solve for x
    x = 40,191,628,962.25/126,605
  6. Step 6: Final answer
    x = 317,456.89

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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.