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Finding the Third Proportional to 160,219 and 241,555.50

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Solution

The third proportional to 160,219 and 241,555.50 is: 364,183.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,219 : 241,555.50 = 241,555.50 : x
  2. Step 2: Convert to fraction form
    160,219/241,555.50 = 241,555.50/x
  3. Step 3: Cross multiply
    160,219x = 241,555.50 × 241,555.50
  4. Step 4: Simplify right side
    160,219x = 58,349,059,580.25
  5. Step 5: Solve for x
    x = 58,349,059,580.25/160,219
  6. Step 6: Final answer
    x = 364,183.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.