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Finding the Third Proportional to 191,476.50 and 268,318.88

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Solution

The third proportional to 191,476.50 and 268,318.88 is: 375,999.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,476.50 : 268,318.88 = 268,318.88 : x
  2. Step 2: Convert to fraction form
    191,476.50/268,318.88 = 268,318.88/x
  3. Step 3: Cross multiply
    191,476.50x = 268,318.88 × 268,318.88
  4. Step 4: Simplify right side
    191,476.50x = 71,995,018,681.27
  5. Step 5: Solve for x
    x = 71,995,018,681.27/191,476.50
  6. Step 6: Final answer
    x = 375,999.24

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.