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Finding the Third Proportional to 162,912.38 and 348,606

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Solution

The third proportional to 162,912.38 and 348,606 is: 745,960.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,912.38 : 348,606 = 348,606 : x
  2. Step 2: Convert to fraction form
    162,912.38/348,606 = 348,606/x
  3. Step 3: Cross multiply
    162,912.38x = 348,606 × 348,606
  4. Step 4: Simplify right side
    162,912.38x = 121,526,143,236
  5. Step 5: Solve for x
    x = 121,526,143,236/162,912.38
  6. Step 6: Final answer
    x = 745,960.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.