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Finding the Third Proportional to 170,424 and 250,380

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Solution

The third proportional to 170,424 and 250,380 is: 367,848.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,424 : 250,380 = 250,380 : x
  2. Step 2: Convert to fraction form
    170,424/250,380 = 250,380/x
  3. Step 3: Cross multiply
    170,424x = 250,380 × 250,380
  4. Step 4: Simplify right side
    170,424x = 62,690,144,400
  5. Step 5: Solve for x
    x = 62,690,144,400/170,424
  6. Step 6: Final answer
    x = 367,848.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.