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Finding the Third Proportional to 155,359.50 and 340,374

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Solution

The third proportional to 155,359.50 and 340,374 is: 745,718.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,359.50 : 340,374 = 340,374 : x
  2. Step 2: Convert to fraction form
    155,359.50/340,374 = 340,374/x
  3. Step 3: Cross multiply
    155,359.50x = 340,374 × 340,374
  4. Step 4: Simplify right side
    155,359.50x = 115,854,459,876
  5. Step 5: Solve for x
    x = 115,854,459,876/155,359.50
  6. Step 6: Final answer
    x = 745,718.54

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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.