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Finding the Third Proportional to 232,042.50 and 369,228

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Solution

The third proportional to 232,042.50 and 369,228 is: 587,518.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,042.50 : 369,228 = 369,228 : x
  2. Step 2: Convert to fraction form
    232,042.50/369,228 = 369,228/x
  3. Step 3: Cross multiply
    232,042.50x = 369,228 × 369,228
  4. Step 4: Simplify right side
    232,042.50x = 136,329,315,984
  5. Step 5: Solve for x
    x = 136,329,315,984/232,042.50
  6. Step 6: Final answer
    x = 587,518.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.