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Finding the Third Proportional to 148,012.50 and 319,704

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Solution

The third proportional to 148,012.50 and 319,704 is: 690,554.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,012.50 : 319,704 = 319,704 : x
  2. Step 2: Convert to fraction form
    148,012.50/319,704 = 319,704/x
  3. Step 3: Cross multiply
    148,012.50x = 319,704 × 319,704
  4. Step 4: Simplify right side
    148,012.50x = 102,210,647,616
  5. Step 5: Solve for x
    x = 102,210,647,616/148,012.50
  6. Step 6: Final answer
    x = 690,554.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.