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Finding the Third Proportional to 114,854 and 252,340

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Solution

The third proportional to 114,854 and 252,340 is: 554,403.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,854 : 252,340 = 252,340 : x
  2. Step 2: Convert to fraction form
    114,854/252,340 = 252,340/x
  3. Step 3: Cross multiply
    114,854x = 252,340 × 252,340
  4. Step 4: Simplify right side
    114,854x = 63,675,475,600
  5. Step 5: Solve for x
    x = 63,675,475,600/114,854
  6. Step 6: Final answer
    x = 554,403.64

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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.