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Finding the Third Proportional to 155,940 and 341,713

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Solution

The third proportional to 155,940 and 341,713 is: 748,799.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,940 : 341,713 = 341,713 : x
  2. Step 2: Convert to fraction form
    155,940/341,713 = 341,713/x
  3. Step 3: Cross multiply
    155,940x = 341,713 × 341,713
  4. Step 4: Simplify right side
    155,940x = 116,767,774,369
  5. Step 5: Solve for x
    x = 116,767,774,369/155,940
  6. Step 6: Final answer
    x = 748,799.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.