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Finding the Third Proportional to 158,946 and 347,418

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Solution

The third proportional to 158,946 and 347,418 is: 759,372.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,946 : 347,418 = 347,418 : x
  2. Step 2: Convert to fraction form
    158,946/347,418 = 347,418/x
  3. Step 3: Cross multiply
    158,946x = 347,418 × 347,418
  4. Step 4: Simplify right side
    158,946x = 120,699,266,724
  5. Step 5: Solve for x
    x = 120,699,266,724/158,946
  6. Step 6: Final answer
    x = 759,372.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.