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Finding the Third Proportional to 152,068 and 355,330

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Solution

The third proportional to 152,068 and 355,330 is: 830,282.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,068 : 355,330 = 355,330 : x
  2. Step 2: Convert to fraction form
    152,068/355,330 = 355,330/x
  3. Step 3: Cross multiply
    152,068x = 355,330 × 355,330
  4. Step 4: Simplify right side
    152,068x = 126,259,408,900
  5. Step 5: Solve for x
    x = 126,259,408,900/152,068
  6. Step 6: Final answer
    x = 830,282.56

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.