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Finding the Third Proportional to 119,812.65 and 256,456.01

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Solution

The third proportional to 119,812.65 and 256,456.01 is: 548,937.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,812.65 : 256,456.01 = 256,456.01 : x
  2. Step 2: Convert to fraction form
    119,812.65/256,456.01 = 256,456.01/x
  3. Step 3: Cross multiply
    119,812.65x = 256,456.01 × 256,456.01
  4. Step 4: Simplify right side
    119,812.65x = 65,769,683,191.79
  5. Step 5: Solve for x
    x = 65,769,683,191.79/119,812.65
  6. Step 6: Final answer
    x = 548,937.75

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.