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Finding the Third Proportional to 152,176 and 308,960

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Solution

The third proportional to 152,176 and 308,960 is: 627,275.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,176 : 308,960 = 308,960 : x
  2. Step 2: Convert to fraction form
    152,176/308,960 = 308,960/x
  3. Step 3: Cross multiply
    152,176x = 308,960 × 308,960
  4. Step 4: Simplify right side
    152,176x = 95,456,281,600
  5. Step 5: Solve for x
    x = 95,456,281,600/152,176
  6. Step 6: Final answer
    x = 627,275.53

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.