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Finding the Third Proportional to 152,482 and 235,635

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Solution

The third proportional to 152,482 and 235,635 is: 364,133.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,482 : 235,635 = 235,635 : x
  2. Step 2: Convert to fraction form
    152,482/235,635 = 235,635/x
  3. Step 3: Cross multiply
    152,482x = 235,635 × 235,635
  4. Step 4: Simplify right side
    152,482x = 55,523,853,225
  5. Step 5: Solve for x
    x = 55,523,853,225/152,482
  6. Step 6: Final answer
    x = 364,133.82

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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.