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Finding the Third Proportional to 155,874 and 241,830.75

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Solution

The third proportional to 155,874 and 241,830.75 is: 375,188.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,874 : 241,830.75 = 241,830.75 : x
  2. Step 2: Convert to fraction form
    155,874/241,830.75 = 241,830.75/x
  3. Step 3: Cross multiply
    155,874x = 241,830.75 × 241,830.75
  4. Step 4: Simplify right side
    155,874x = 58,482,111,645.56
  5. Step 5: Solve for x
    x = 58,482,111,645.56/155,874
  6. Step 6: Final answer
    x = 375,188.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.