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Finding the Third Proportional to 169,984 and 359,424

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Solution

The third proportional to 169,984 and 359,424 is: 759,986.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,984 : 359,424 = 359,424 : x
  2. Step 2: Convert to fraction form
    169,984/359,424 = 359,424/x
  3. Step 3: Cross multiply
    169,984x = 359,424 × 359,424
  4. Step 4: Simplify right side
    169,984x = 129,185,611,776
  5. Step 5: Solve for x
    x = 129,185,611,776/169,984
  6. Step 6: Final answer
    x = 759,986.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.