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Finding the Third Proportional to 156,940 and 348,750

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Solution

The third proportional to 156,940 and 348,750 is: 774,987.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,940 : 348,750 = 348,750 : x
  2. Step 2: Convert to fraction form
    156,940/348,750 = 348,750/x
  3. Step 3: Cross multiply
    156,940x = 348,750 × 348,750
  4. Step 4: Simplify right side
    156,940x = 121,626,562,500
  5. Step 5: Solve for x
    x = 121,626,562,500/156,940
  6. Step 6: Final answer
    x = 774,987.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.