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Finding the Third Proportional to 160,984 and 349,649

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Solution

The third proportional to 160,984 and 349,649 is: 759,419.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,984 : 349,649 = 349,649 : x
  2. Step 2: Convert to fraction form
    160,984/349,649 = 349,649/x
  3. Step 3: Cross multiply
    160,984x = 349,649 × 349,649
  4. Step 4: Simplify right side
    160,984x = 122,254,423,201
  5. Step 5: Solve for x
    x = 122,254,423,201/160,984
  6. Step 6: Final answer
    x = 759,419.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.