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Finding the Third Proportional to 154,594.50 and 245,917.50

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Solution

The third proportional to 154,594.50 and 245,917.50 is: 391,187.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,594.50 : 245,917.50 = 245,917.50 : x
  2. Step 2: Convert to fraction form
    154,594.50/245,917.50 = 245,917.50/x
  3. Step 3: Cross multiply
    154,594.50x = 245,917.50 × 245,917.50
  4. Step 4: Simplify right side
    154,594.50x = 60,475,416,806.25
  5. Step 5: Solve for x
    x = 60,475,416,806.25/154,594.50
  6. Step 6: Final answer
    x = 391,187.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.