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Finding the Third Proportional to 232,470 and 359,220

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Solution

The third proportional to 232,470 and 359,220 is: 555,078.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,470 : 359,220 = 359,220 : x
  2. Step 2: Convert to fraction form
    232,470/359,220 = 359,220/x
  3. Step 3: Cross multiply
    232,470x = 359,220 × 359,220
  4. Step 4: Simplify right side
    232,470x = 129,039,008,400
  5. Step 5: Solve for x
    x = 129,039,008,400/232,470
  6. Step 6: Final answer
    x = 555,078.11

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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.