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Finding the Third Proportional to 148,905 and 318,586.50

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Solution

The third proportional to 148,905 and 318,586.50 is: 681,624.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,905 : 318,586.50 = 318,586.50 : x
  2. Step 2: Convert to fraction form
    148,905/318,586.50 = 318,586.50/x
  3. Step 3: Cross multiply
    148,905x = 318,586.50 × 318,586.50
  4. Step 4: Simplify right side
    148,905x = 101,497,357,982.25
  5. Step 5: Solve for x
    x = 101,497,357,982.25/148,905
  6. Step 6: Final answer
    x = 681,624.92

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.