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Finding the Third Proportional to 155,569 and 303,362

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Solution

The third proportional to 155,569 and 303,362 is: 591,560.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,569 : 303,362 = 303,362 : x
  2. Step 2: Convert to fraction form
    155,569/303,362 = 303,362/x
  3. Step 3: Cross multiply
    155,569x = 303,362 × 303,362
  4. Step 4: Simplify right side
    155,569x = 92,028,503,044
  5. Step 5: Solve for x
    x = 92,028,503,044/155,569
  6. Step 6: Final answer
    x = 591,560.68

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.