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Finding the Third Proportional to 155,920.50 and 251,106.75

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Solution

The third proportional to 155,920.50 and 251,106.75 is: 404,402.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,920.50 : 251,106.75 = 251,106.75 : x
  2. Step 2: Convert to fraction form
    155,920.50/251,106.75 = 251,106.75/x
  3. Step 3: Cross multiply
    155,920.50x = 251,106.75 × 251,106.75
  4. Step 4: Simplify right side
    155,920.50x = 63,054,599,895.56
  5. Step 5: Solve for x
    x = 63,054,599,895.56/155,920.50
  6. Step 6: Final answer
    x = 404,402.24

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.