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Finding the Third Proportional to 148,328.72 and 324,572.06

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Solution

The third proportional to 148,328.72 and 324,572.06 is: 710,226.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,328.72 : 324,572.06 = 324,572.06 : x
  2. Step 2: Convert to fraction form
    148,328.72/324,572.06 = 324,572.06/x
  3. Step 3: Cross multiply
    148,328.72x = 324,572.06 × 324,572.06
  4. Step 4: Simplify right side
    148,328.72x = 105,347,023,755.50
  5. Step 5: Solve for x
    x = 105,347,023,755.50/148,328.72
  6. Step 6: Final answer
    x = 710,226.75

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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.