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Finding the Third Proportional to 160,310 and 250,170

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Solution

The third proportional to 160,310 and 250,170 is: 390,400.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,310 : 250,170 = 250,170 : x
  2. Step 2: Convert to fraction form
    160,310/250,170 = 250,170/x
  3. Step 3: Cross multiply
    160,310x = 250,170 × 250,170
  4. Step 4: Simplify right side
    160,310x = 62,585,028,900
  5. Step 5: Solve for x
    x = 62,585,028,900/160,310
  6. Step 6: Final answer
    x = 390,400.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.