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Finding the Third Proportional to 150,043.50 and 232,254

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Solution

The third proportional to 150,043.50 and 232,254 is: 359,508.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,043.50 : 232,254 = 232,254 : x
  2. Step 2: Convert to fraction form
    150,043.50/232,254 = 232,254/x
  3. Step 3: Cross multiply
    150,043.50x = 232,254 × 232,254
  4. Step 4: Simplify right side
    150,043.50x = 53,941,920,516
  5. Step 5: Solve for x
    x = 53,941,920,516/150,043.50
  6. Step 6: Final answer
    x = 359,508.55

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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.