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Finding the Third Proportional to 147,801 and 227,425.50

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Solution

The third proportional to 147,801 and 227,425.50 is: 349,945.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,801 : 227,425.50 = 227,425.50 : x
  2. Step 2: Convert to fraction form
    147,801/227,425.50 = 227,425.50/x
  3. Step 3: Cross multiply
    147,801x = 227,425.50 × 227,425.50
  4. Step 4: Simplify right side
    147,801x = 51,722,358,050.25
  5. Step 5: Solve for x
    x = 51,722,358,050.25/147,801
  6. Step 6: Final answer
    x = 349,945.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.