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Finding the Third Proportional to 235,348 and 359,180

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Solution

The third proportional to 235,348 and 359,180 is: 548,168.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,348 : 359,180 = 359,180 : x
  2. Step 2: Convert to fraction form
    235,348/359,180 = 359,180/x
  3. Step 3: Cross multiply
    235,348x = 359,180 × 359,180
  4. Step 4: Simplify right side
    235,348x = 129,010,272,400
  5. Step 5: Solve for x
    x = 129,010,272,400/235,348
  6. Step 6: Final answer
    x = 548,168.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.