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Finding the Third Proportional to 131,669 and 283,319

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Solution

The third proportional to 131,669 and 283,319 is: 609,632.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,669 : 283,319 = 283,319 : x
  2. Step 2: Convert to fraction form
    131,669/283,319 = 283,319/x
  3. Step 3: Cross multiply
    131,669x = 283,319 × 283,319
  4. Step 4: Simplify right side
    131,669x = 80,269,655,761
  5. Step 5: Solve for x
    x = 80,269,655,761/131,669
  6. Step 6: Final answer
    x = 609,632.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.