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Finding the Third Proportional to 134,282 and 290,254

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Solution

The third proportional to 134,282 and 290,254 is: 627,391.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,282 : 290,254 = 290,254 : x
  2. Step 2: Convert to fraction form
    134,282/290,254 = 290,254/x
  3. Step 3: Cross multiply
    134,282x = 290,254 × 290,254
  4. Step 4: Simplify right side
    134,282x = 84,247,384,516
  5. Step 5: Solve for x
    x = 84,247,384,516/134,282
  6. Step 6: Final answer
    x = 627,391.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.