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Finding the Third Proportional to 148,110 and 324,347.25

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Solution

The third proportional to 148,110 and 324,347.25 is: 710,290.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,110 : 324,347.25 = 324,347.25 : x
  2. Step 2: Convert to fraction form
    148,110/324,347.25 = 324,347.25/x
  3. Step 3: Cross multiply
    148,110x = 324,347.25 × 324,347.25
  4. Step 4: Simplify right side
    148,110x = 105,201,138,582.56
  5. Step 5: Solve for x
    x = 105,201,138,582.56/148,110
  6. Step 6: Final answer
    x = 710,290.59

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