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Finding the Third Proportional to 171,611.25 and 357,426

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Solution

The third proportional to 171,611.25 and 357,426 is: 744,434.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,611.25 : 357,426 = 357,426 : x
  2. Step 2: Convert to fraction form
    171,611.25/357,426 = 357,426/x
  3. Step 3: Cross multiply
    171,611.25x = 357,426 × 357,426
  4. Step 4: Simplify right side
    171,611.25x = 127,753,345,476
  5. Step 5: Solve for x
    x = 127,753,345,476/171,611.25
  6. Step 6: Final answer
    x = 744,434.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.