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Finding the Third Proportional to 155,544 and 419,002.50

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Solution

The third proportional to 155,544 and 419,002.50 is: 1,128,703.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,544 : 419,002.50 = 419,002.50 : x
  2. Step 2: Convert to fraction form
    155,544/419,002.50 = 419,002.50/x
  3. Step 3: Cross multiply
    155,544x = 419,002.50 × 419,002.50
  4. Step 4: Simplify right side
    155,544x = 175,563,095,006.25
  5. Step 5: Solve for x
    x = 175,563,095,006.25/155,544
  6. Step 6: Final answer
    x = 1,128,703.74

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These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.