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Finding the Third Proportional to 252,571 and 540,164

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Solution

The third proportional to 252,571 and 540,164 is: 1,155,228.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,571 : 540,164 = 540,164 : x
  2. Step 2: Convert to fraction form
    252,571/540,164 = 540,164/x
  3. Step 3: Cross multiply
    252,571x = 540,164 × 540,164
  4. Step 4: Simplify right side
    252,571x = 291,777,146,896
  5. Step 5: Solve for x
    x = 291,777,146,896/252,571
  6. Step 6: Final answer
    x = 1,155,228.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.