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Finding the Third Proportional to 115,356 and 252,576

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Solution

The third proportional to 115,356 and 252,576 is: 553,023.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,356 : 252,576 = 252,576 : x
  2. Step 2: Convert to fraction form
    115,356/252,576 = 252,576/x
  3. Step 3: Cross multiply
    115,356x = 252,576 × 252,576
  4. Step 4: Simplify right side
    115,356x = 63,794,635,776
  5. Step 5: Solve for x
    x = 63,794,635,776/115,356
  6. Step 6: Final answer
    x = 553,023.99

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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.