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Finding the Third Proportional to 186,727.50 and 268,426.50

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Solution

The third proportional to 186,727.50 and 268,426.50 is: 385,871.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,727.50 : 268,426.50 = 268,426.50 : x
  2. Step 2: Convert to fraction form
    186,727.50/268,426.50 = 268,426.50/x
  3. Step 3: Cross multiply
    186,727.50x = 268,426.50 × 268,426.50
  4. Step 4: Simplify right side
    186,727.50x = 72,052,785,902.25
  5. Step 5: Solve for x
    x = 72,052,785,902.25/186,727.50
  6. Step 6: Final answer
    x = 385,871.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.