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Finding the Third Proportional to 115,284 and 252,438

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Solution

The third proportional to 115,284 and 252,438 is: 552,764.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,284 : 252,438 = 252,438 : x
  2. Step 2: Convert to fraction form
    115,284/252,438 = 252,438/x
  3. Step 3: Cross multiply
    115,284x = 252,438 × 252,438
  4. Step 4: Simplify right side
    115,284x = 63,724,943,844
  5. Step 5: Solve for x
    x = 63,724,943,844/115,284
  6. Step 6: Final answer
    x = 552,764.86

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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.