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Finding the Third Proportional to 154,005 and 220,222.50

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Solution

The third proportional to 154,005 and 220,222.50 is: 314,911.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,005 : 220,222.50 = 220,222.50 : x
  2. Step 2: Convert to fraction form
    154,005/220,222.50 = 220,222.50/x
  3. Step 3: Cross multiply
    154,005x = 220,222.50 × 220,222.50
  4. Step 4: Simplify right side
    154,005x = 48,497,949,506.25
  5. Step 5: Solve for x
    x = 48,497,949,506.25/154,005
  6. Step 6: Final answer
    x = 314,911.53

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.