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Finding the Third Proportional to 181,766.53 and 277,570.13

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Solution

The third proportional to 181,766.53 and 277,570.13 is: 423,868.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,766.53 : 277,570.13 = 277,570.13 : x
  2. Step 2: Convert to fraction form
    181,766.53/277,570.13 = 277,570.13/x
  3. Step 3: Cross multiply
    181,766.53x = 277,570.13 × 277,570.13
  4. Step 4: Simplify right side
    181,766.53x = 77,045,174,292.52
  5. Step 5: Solve for x
    x = 77,045,174,292.52/181,766.53
  6. Step 6: Final answer
    x = 423,868.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.