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Finding the Third Proportional to 162,914 and 348,610

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Solution

The third proportional to 162,914 and 348,610 is: 745,969.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,914 : 348,610 = 348,610 : x
  2. Step 2: Convert to fraction form
    162,914/348,610 = 348,610/x
  3. Step 3: Cross multiply
    162,914x = 348,610 × 348,610
  4. Step 4: Simplify right side
    162,914x = 121,528,932,100
  5. Step 5: Solve for x
    x = 121,528,932,100/162,914
  6. Step 6: Final answer
    x = 745,969.85

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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.