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Finding the Third Proportional to 162,156 and 348,288

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Solution

The third proportional to 162,156 and 348,288 is: 748,073.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,156 : 348,288 = 348,288 : x
  2. Step 2: Convert to fraction form
    162,156/348,288 = 348,288/x
  3. Step 3: Cross multiply
    162,156x = 348,288 × 348,288
  4. Step 4: Simplify right side
    162,156x = 121,304,530,944
  5. Step 5: Solve for x
    x = 121,304,530,944/162,156
  6. Step 6: Final answer
    x = 748,073.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.