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Finding the Third Proportional to 109,234 and 235,260

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Solution

The third proportional to 109,234 and 235,260 is: 506,685.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,234 : 235,260 = 235,260 : x
  2. Step 2: Convert to fraction form
    109,234/235,260 = 235,260/x
  3. Step 3: Cross multiply
    109,234x = 235,260 × 235,260
  4. Step 4: Simplify right side
    109,234x = 55,347,267,600
  5. Step 5: Solve for x
    x = 55,347,267,600/109,234
  6. Step 6: Final answer
    x = 506,685.35

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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.