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Finding the Third Proportional to 119,234 and 256,750

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Solution

The third proportional to 119,234 and 256,750 is: 552,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,234 : 256,750 = 256,750 : x
  2. Step 2: Convert to fraction form
    119,234/256,750 = 256,750/x
  3. Step 3: Cross multiply
    119,234x = 256,750 × 256,750
  4. Step 4: Simplify right side
    119,234x = 65,920,562,500
  5. Step 5: Solve for x
    x = 65,920,562,500/119,234
  6. Step 6: Final answer
    x = 552,867.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.