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Finding the Third Proportional to 232,480 and 359,235

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Solution

The third proportional to 232,480 and 359,235 is: 555,100.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,480 : 359,235 = 359,235 : x
  2. Step 2: Convert to fraction form
    232,480/359,235 = 359,235/x
  3. Step 3: Cross multiply
    232,480x = 359,235 × 359,235
  4. Step 4: Simplify right side
    232,480x = 129,049,785,225
  5. Step 5: Solve for x
    x = 129,049,785,225/232,480
  6. Step 6: Final answer
    x = 555,100.59

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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.