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Finding the Third Proportional to 150,199 and 232,488

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Solution

The third proportional to 150,199 and 232,488 is: 359,860.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,199 : 232,488 = 232,488 : x
  2. Step 2: Convert to fraction form
    150,199/232,488 = 232,488/x
  3. Step 3: Cross multiply
    150,199x = 232,488 × 232,488
  4. Step 4: Simplify right side
    150,199x = 54,050,670,144
  5. Step 5: Solve for x
    x = 54,050,670,144/150,199
  6. Step 6: Final answer
    x = 359,860.39

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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.