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Finding the Third Proportional to 158,654 and 345,710

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Solution

The third proportional to 158,654 and 345,710 is: 753,308.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,654 : 345,710 = 345,710 : x
  2. Step 2: Convert to fraction form
    158,654/345,710 = 345,710/x
  3. Step 3: Cross multiply
    158,654x = 345,710 × 345,710
  4. Step 4: Simplify right side
    158,654x = 119,515,404,100
  5. Step 5: Solve for x
    x = 119,515,404,100/158,654
  6. Step 6: Final answer
    x = 753,308.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.