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Finding the Third Proportional to 144,617 and 296,282

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Solution

The third proportional to 144,617 and 296,282 is: 607,003.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,617 : 296,282 = 296,282 : x
  2. Step 2: Convert to fraction form
    144,617/296,282 = 296,282/x
  3. Step 3: Cross multiply
    144,617x = 296,282 × 296,282
  4. Step 4: Simplify right side
    144,617x = 87,783,023,524
  5. Step 5: Solve for x
    x = 87,783,023,524/144,617
  6. Step 6: Final answer
    x = 607,003.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.