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Finding the Third Proportional to 180,864.56 and 266,069.81

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Solution

The third proportional to 180,864.56 and 266,069.81 is: 391,415.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,864.56 : 266,069.81 = 266,069.81 : x
  2. Step 2: Convert to fraction form
    180,864.56/266,069.81 = 266,069.81/x
  3. Step 3: Cross multiply
    180,864.56x = 266,069.81 × 266,069.81
  4. Step 4: Simplify right side
    180,864.56x = 70,793,145,123.79
  5. Step 5: Solve for x
    x = 70,793,145,123.79/180,864.56
  6. Step 6: Final answer
    x = 391,415.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.