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Finding the Third Proportional to 171,952 and 265,600

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Solution

The third proportional to 171,952 and 265,600 is: 410,250.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,952 : 265,600 = 265,600 : x
  2. Step 2: Convert to fraction form
    171,952/265,600 = 265,600/x
  3. Step 3: Cross multiply
    171,952x = 265,600 × 265,600
  4. Step 4: Simplify right side
    171,952x = 70,543,360,000
  5. Step 5: Solve for x
    x = 70,543,360,000/171,952
  6. Step 6: Final answer
    x = 410,250.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.