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Finding the Third Proportional to 155,218.50 and 340,920

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Solution

The third proportional to 155,218.50 and 340,920 is: 748,792.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,218.50 : 340,920 = 340,920 : x
  2. Step 2: Convert to fraction form
    155,218.50/340,920 = 340,920/x
  3. Step 3: Cross multiply
    155,218.50x = 340,920 × 340,920
  4. Step 4: Simplify right side
    155,218.50x = 116,226,446,400
  5. Step 5: Solve for x
    x = 116,226,446,400/155,218.50
  6. Step 6: Final answer
    x = 748,792.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.