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Finding the Third Proportional to 151,902 and 240,220.50

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Solution

The third proportional to 151,902 and 240,220.50 is: 379,888.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,902 : 240,220.50 = 240,220.50 : x
  2. Step 2: Convert to fraction form
    151,902/240,220.50 = 240,220.50/x
  3. Step 3: Cross multiply
    151,902x = 240,220.50 × 240,220.50
  4. Step 4: Simplify right side
    151,902x = 57,705,888,620.25
  5. Step 5: Solve for x
    x = 57,705,888,620.25/151,902
  6. Step 6: Final answer
    x = 379,888.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.