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Finding the Third Proportional to 148,476 and 323,751.75

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Solution

The third proportional to 148,476 and 323,751.75 is: 705,940.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,476 : 323,751.75 = 323,751.75 : x
  2. Step 2: Convert to fraction form
    148,476/323,751.75 = 323,751.75/x
  3. Step 3: Cross multiply
    148,476x = 323,751.75 × 323,751.75
  4. Step 4: Simplify right side
    148,476x = 104,815,195,628.06
  5. Step 5: Solve for x
    x = 104,815,195,628.06/148,476
  6. Step 6: Final answer
    x = 705,940.32

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.