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Finding the Third Proportional to 148,655.25 and 309,622.50

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Solution

The third proportional to 148,655.25 and 309,622.50 is: 644,888.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,655.25 : 309,622.50 = 309,622.50 : x
  2. Step 2: Convert to fraction form
    148,655.25/309,622.50 = 309,622.50/x
  3. Step 3: Cross multiply
    148,655.25x = 309,622.50 × 309,622.50
  4. Step 4: Simplify right side
    148,655.25x = 95,866,092,506.25
  5. Step 5: Solve for x
    x = 95,866,092,506.25/148,655.25
  6. Step 6: Final answer
    x = 644,888.71

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.