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Finding the Third Proportional to 159,218.50 and 232,264

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Solution

The third proportional to 159,218.50 and 232,264 is: 338,820.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,218.50 : 232,264 = 232,264 : x
  2. Step 2: Convert to fraction form
    159,218.50/232,264 = 232,264/x
  3. Step 3: Cross multiply
    159,218.50x = 232,264 × 232,264
  4. Step 4: Simplify right side
    159,218.50x = 53,946,565,696
  5. Step 5: Solve for x
    x = 53,946,565,696/159,218.50
  6. Step 6: Final answer
    x = 338,820.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.