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Finding the Third Proportional to 170,234 and 269,432

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Solution

The third proportional to 170,234 and 269,432 is: 426,434.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,234 : 269,432 = 269,432 : x
  2. Step 2: Convert to fraction form
    170,234/269,432 = 269,432/x
  3. Step 3: Cross multiply
    170,234x = 269,432 × 269,432
  4. Step 4: Simplify right side
    170,234x = 72,593,602,624
  5. Step 5: Solve for x
    x = 72,593,602,624/170,234
  6. Step 6: Final answer
    x = 426,434.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.