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Finding the Third Proportional to 147,814 and 324,242

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Solution

The third proportional to 147,814 and 324,242 is: 711,251.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,814 : 324,242 = 324,242 : x
  2. Step 2: Convert to fraction form
    147,814/324,242 = 324,242/x
  3. Step 3: Cross multiply
    147,814x = 324,242 × 324,242
  4. Step 4: Simplify right side
    147,814x = 105,132,874,564
  5. Step 5: Solve for x
    x = 105,132,874,564/147,814
  6. Step 6: Final answer
    x = 711,251.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.