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Finding the Third Proportional to 232,478 and 359,232

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Solution

The third proportional to 232,478 and 359,232 is: 555,096.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,478 : 359,232 = 359,232 : x
  2. Step 2: Convert to fraction form
    232,478/359,232 = 359,232/x
  3. Step 3: Cross multiply
    232,478x = 359,232 × 359,232
  4. Step 4: Simplify right side
    232,478x = 129,047,629,824
  5. Step 5: Solve for x
    x = 129,047,629,824/232,478
  6. Step 6: Final answer
    x = 555,096.09

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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.