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Finding the Third Proportional to 114,414 and 169,284

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Solution

The third proportional to 114,414 and 169,284 is: 250,468.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,414 : 169,284 = 169,284 : x
  2. Step 2: Convert to fraction form
    114,414/169,284 = 169,284/x
  3. Step 3: Cross multiply
    114,414x = 169,284 × 169,284
  4. Step 4: Simplify right side
    114,414x = 28,657,072,656
  5. Step 5: Solve for x
    x = 28,657,072,656/114,414
  6. Step 6: Final answer
    x = 250,468.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.