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Finding the Third Proportional to 158,473 and 348,050

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Solution

The third proportional to 158,473 and 348,050 is: 764,412.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,473 : 348,050 = 348,050 : x
  2. Step 2: Convert to fraction form
    158,473/348,050 = 348,050/x
  3. Step 3: Cross multiply
    158,473x = 348,050 × 348,050
  4. Step 4: Simplify right side
    158,473x = 121,138,802,500
  5. Step 5: Solve for x
    x = 121,138,802,500/158,473
  6. Step 6: Final answer
    x = 764,412.88

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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.