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Finding the Third Proportional to 114,758 and 250,284

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Solution

The third proportional to 114,758 and 250,284 is: 545,862.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,758 : 250,284 = 250,284 : x
  2. Step 2: Convert to fraction form
    114,758/250,284 = 250,284/x
  3. Step 3: Cross multiply
    114,758x = 250,284 × 250,284
  4. Step 4: Simplify right side
    114,758x = 62,642,080,656
  5. Step 5: Solve for x
    x = 62,642,080,656/114,758
  6. Step 6: Final answer
    x = 545,862.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.