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Finding the Third Proportional to 162,171.75 and 348,321

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Solution

The third proportional to 162,171.75 and 348,321 is: 748,142.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,171.75 : 348,321 = 348,321 : x
  2. Step 2: Convert to fraction form
    162,171.75/348,321 = 348,321/x
  3. Step 3: Cross multiply
    162,171.75x = 348,321 × 348,321
  4. Step 4: Simplify right side
    162,171.75x = 121,327,519,041
  5. Step 5: Solve for x
    x = 121,327,519,041/162,171.75
  6. Step 6: Final answer
    x = 748,142.13

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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.