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Finding the Third Proportional to 155,450.25 and 322,587

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Solution

The third proportional to 155,450.25 and 322,587 is: 669,425.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,450.25 : 322,587 = 322,587 : x
  2. Step 2: Convert to fraction form
    155,450.25/322,587 = 322,587/x
  3. Step 3: Cross multiply
    155,450.25x = 322,587 × 322,587
  4. Step 4: Simplify right side
    155,450.25x = 104,062,372,569
  5. Step 5: Solve for x
    x = 104,062,372,569/155,450.25
  6. Step 6: Final answer
    x = 669,425.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.