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Finding the Third Proportional to 155,250 and 338,940

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Solution

The third proportional to 155,250 and 338,940 is: 739,969.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,250 : 338,940 = 338,940 : x
  2. Step 2: Convert to fraction form
    155,250/338,940 = 338,940/x
  3. Step 3: Cross multiply
    155,250x = 338,940 × 338,940
  4. Step 4: Simplify right side
    155,250x = 114,880,323,600
  5. Step 5: Solve for x
    x = 114,880,323,600/155,250
  6. Step 6: Final answer
    x = 739,969.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.