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Finding the Third Proportional to 150,076 and 232,308

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Solution

The third proportional to 150,076 and 232,308 is: 359,597.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,076 : 232,308 = 232,308 : x
  2. Step 2: Convert to fraction form
    150,076/232,308 = 232,308/x
  3. Step 3: Cross multiply
    150,076x = 232,308 × 232,308
  4. Step 4: Simplify right side
    150,076x = 53,967,006,864
  5. Step 5: Solve for x
    x = 53,967,006,864/150,076
  6. Step 6: Final answer
    x = 359,597.85

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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.