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Finding the Third Proportional to 181,524 and 277,207.50

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Solution

The third proportional to 181,524 and 277,207.50 is: 423,326.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,524 : 277,207.50 = 277,207.50 : x
  2. Step 2: Convert to fraction form
    181,524/277,207.50 = 277,207.50/x
  3. Step 3: Cross multiply
    181,524x = 277,207.50 × 277,207.50
  4. Step 4: Simplify right side
    181,524x = 76,843,998,056.25
  5. Step 5: Solve for x
    x = 76,843,998,056.25/181,524
  6. Step 6: Final answer
    x = 423,326.93

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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.