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Finding the Third Proportional to 148,536.75 and 309,312.75

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Solution

The third proportional to 148,536.75 and 309,312.75 is: 644,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,536.75 : 309,312.75 = 309,312.75 : x
  2. Step 2: Convert to fraction form
    148,536.75/309,312.75 = 309,312.75/x
  3. Step 3: Cross multiply
    148,536.75x = 309,312.75 × 309,312.75
  4. Step 4: Simplify right side
    148,536.75x = 95,674,377,312.56
  5. Step 5: Solve for x
    x = 95,674,377,312.56/148,536.75
  6. Step 6: Final answer
    x = 644,112.50

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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.