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Finding the Third Proportional to 170,291 and 357,700

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Solution

The third proportional to 170,291 and 357,700 is: 751,356.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,291 : 357,700 = 357,700 : x
  2. Step 2: Convert to fraction form
    170,291/357,700 = 357,700/x
  3. Step 3: Cross multiply
    170,291x = 357,700 × 357,700
  4. Step 4: Simplify right side
    170,291x = 127,949,290,000
  5. Step 5: Solve for x
    x = 127,949,290,000/170,291
  6. Step 6: Final answer
    x = 751,356.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.