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Finding the Third Proportional to 152,154 and 308,916

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Solution

The third proportional to 152,154 and 308,916 is: 627,187.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,154 : 308,916 = 308,916 : x
  2. Step 2: Convert to fraction form
    152,154/308,916 = 308,916/x
  3. Step 3: Cross multiply
    152,154x = 308,916 × 308,916
  4. Step 4: Simplify right side
    152,154x = 95,429,095,056
  5. Step 5: Solve for x
    x = 95,429,095,056/152,154
  6. Step 6: Final answer
    x = 627,187.55

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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.