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Finding the Third Proportional to 158,472 and 348,044

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Solution

The third proportional to 158,472 and 348,044 is: 764,391.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,472 : 348,044 = 348,044 : x
  2. Step 2: Convert to fraction form
    158,472/348,044 = 348,044/x
  3. Step 3: Cross multiply
    158,472x = 348,044 × 348,044
  4. Step 4: Simplify right side
    158,472x = 121,134,625,936
  5. Step 5: Solve for x
    x = 121,134,625,936/158,472
  6. Step 6: Final answer
    x = 764,391.35

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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.