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Finding the Third Proportional to 114,858 and 252,348

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Solution

The third proportional to 114,858 and 252,348 is: 554,419.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,858 : 252,348 = 252,348 : x
  2. Step 2: Convert to fraction form
    114,858/252,348 = 252,348/x
  3. Step 3: Cross multiply
    114,858x = 252,348 × 252,348
  4. Step 4: Simplify right side
    114,858x = 63,679,513,104
  5. Step 5: Solve for x
    x = 63,679,513,104/114,858
  6. Step 6: Final answer
    x = 554,419.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.