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Finding the Third Proportional to 148,212 and 324,534

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Solution

The third proportional to 148,212 and 324,534 is: 710,619.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,212 : 324,534 = 324,534 : x
  2. Step 2: Convert to fraction form
    148,212/324,534 = 324,534/x
  3. Step 3: Cross multiply
    148,212x = 324,534 × 324,534
  4. Step 4: Simplify right side
    148,212x = 105,322,317,156
  5. Step 5: Solve for x
    x = 105,322,317,156/148,212
  6. Step 6: Final answer
    x = 710,619.36

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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.