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Finding the Third Proportional to 148,898.25 and 318,573

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Solution

The third proportional to 148,898.25 and 318,573 is: 681,598.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,898.25 : 318,573 = 318,573 : x
  2. Step 2: Convert to fraction form
    148,898.25/318,573 = 318,573/x
  3. Step 3: Cross multiply
    148,898.25x = 318,573 × 318,573
  4. Step 4: Simplify right side
    148,898.25x = 101,488,756,329
  5. Step 5: Solve for x
    x = 101,488,756,329/148,898.25
  6. Step 6: Final answer
    x = 681,598.05

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Why These Related Problems?

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