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Finding the Third Proportional to 158,454 and 348,012

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Solution

The third proportional to 158,454 and 348,012 is: 764,337.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,454 : 348,012 = 348,012 : x
  2. Step 2: Convert to fraction form
    158,454/348,012 = 348,012/x
  3. Step 3: Cross multiply
    158,454x = 348,012 × 348,012
  4. Step 4: Simplify right side
    158,454x = 121,112,352,144
  5. Step 5: Solve for x
    x = 121,112,352,144/158,454
  6. Step 6: Final answer
    x = 764,337.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.