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Finding the Third Proportional to 235,352 and 359,186

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Solution

The third proportional to 235,352 and 359,186 is: 548,177.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,352 : 359,186 = 359,186 : x
  2. Step 2: Convert to fraction form
    235,352/359,186 = 359,186/x
  3. Step 3: Cross multiply
    235,352x = 359,186 × 359,186
  4. Step 4: Simplify right side
    235,352x = 129,014,582,596
  5. Step 5: Solve for x
    x = 129,014,582,596/235,352
  6. Step 6: Final answer
    x = 548,177.12

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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.