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Finding the Third Proportional to 175,502 and 379,012

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Solution

The third proportional to 175,502 and 379,012 is: 818,509.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,502 : 379,012 = 379,012 : x
  2. Step 2: Convert to fraction form
    175,502/379,012 = 379,012/x
  3. Step 3: Cross multiply
    175,502x = 379,012 × 379,012
  4. Step 4: Simplify right side
    175,502x = 143,650,096,144
  5. Step 5: Solve for x
    x = 143,650,096,144/175,502
  6. Step 6: Final answer
    x = 818,509.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.