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Finding the Third Proportional to 150,495 and 232,919

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Solution

The third proportional to 150,495 and 232,919 is: 360,485.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,495 : 232,919 = 232,919 : x
  2. Step 2: Convert to fraction form
    150,495/232,919 = 232,919/x
  3. Step 3: Cross multiply
    150,495x = 232,919 × 232,919
  4. Step 4: Simplify right side
    150,495x = 54,251,260,561
  5. Step 5: Solve for x
    x = 54,251,260,561/150,495
  6. Step 6: Final answer
    x = 360,485.47

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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.