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Finding the Third Proportional to 148,197.50 and 324,502

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Solution

The third proportional to 148,197.50 and 324,502 is: 710,548.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,197.50 : 324,502 = 324,502 : x
  2. Step 2: Convert to fraction form
    148,197.50/324,502 = 324,502/x
  3. Step 3: Cross multiply
    148,197.50x = 324,502 × 324,502
  4. Step 4: Simplify right side
    148,197.50x = 105,301,548,004
  5. Step 5: Solve for x
    x = 105,301,548,004/148,197.50
  6. Step 6: Final answer
    x = 710,548.75

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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.