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Finding the Third Proportional to 147,814 and 324,240

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Solution

The third proportional to 147,814 and 324,240 is: 711,242.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,814 : 324,240 = 324,240 : x
  2. Step 2: Convert to fraction form
    147,814/324,240 = 324,240/x
  3. Step 3: Cross multiply
    147,814x = 324,240 × 324,240
  4. Step 4: Simplify right side
    147,814x = 105,131,577,600
  5. Step 5: Solve for x
    x = 105,131,577,600/147,814
  6. Step 6: Final answer
    x = 711,242.36

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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.