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Finding the Third Proportional to 169,322.50 and 361,972.50

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Solution

The third proportional to 169,322.50 and 361,972.50 is: 773,813.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,322.50 : 361,972.50 = 361,972.50 : x
  2. Step 2: Convert to fraction form
    169,322.50/361,972.50 = 361,972.50/x
  3. Step 3: Cross multiply
    169,322.50x = 361,972.50 × 361,972.50
  4. Step 4: Simplify right side
    169,322.50x = 131,024,090,756.25
  5. Step 5: Solve for x
    x = 131,024,090,756.25/169,322.50
  6. Step 6: Final answer
    x = 773,813.82

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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.