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Finding the Third Proportional to 115,200 and 252,543

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Solution

The third proportional to 115,200 and 252,543 is: 553,628.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,200 : 252,543 = 252,543 : x
  2. Step 2: Convert to fraction form
    115,200/252,543 = 252,543/x
  3. Step 3: Cross multiply
    115,200x = 252,543 × 252,543
  4. Step 4: Simplify right side
    115,200x = 63,777,966,849
  5. Step 5: Solve for x
    x = 63,777,966,849/115,200
  6. Step 6: Final answer
    x = 553,628.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.