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Finding the Third Proportional to 147,812.25 and 324,238.13

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Solution

The third proportional to 147,812.25 and 324,238.13 is: 711,242.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,812.25 : 324,238.13 = 324,238.13 : x
  2. Step 2: Convert to fraction form
    147,812.25/324,238.13 = 324,238.13/x
  3. Step 3: Cross multiply
    147,812.25x = 324,238.13 × 324,238.13
  4. Step 4: Simplify right side
    147,812.25x = 105,130,361,703.52
  5. Step 5: Solve for x
    x = 105,130,361,703.52/147,812.25
  6. Step 6: Final answer
    x = 711,242.55

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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.