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Finding the Third Proportional to 131,301 and 191,209.50

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Solution

The third proportional to 131,301 and 191,209.50 is: 278,452.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,301 : 191,209.50 = 191,209.50 : x
  2. Step 2: Convert to fraction form
    131,301/191,209.50 = 191,209.50/x
  3. Step 3: Cross multiply
    131,301x = 191,209.50 × 191,209.50
  4. Step 4: Simplify right side
    131,301x = 36,561,072,890.25
  5. Step 5: Solve for x
    x = 36,561,072,890.25/131,301
  6. Step 6: Final answer
    x = 278,452.36

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.