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Finding the Third Proportional to 160,888.50 and 241,022.25

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Solution

The third proportional to 160,888.50 and 241,022.25 is: 361,068.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,888.50 : 241,022.25 = 241,022.25 : x
  2. Step 2: Convert to fraction form
    160,888.50/241,022.25 = 241,022.25/x
  3. Step 3: Cross multiply
    160,888.50x = 241,022.25 × 241,022.25
  4. Step 4: Simplify right side
    160,888.50x = 58,091,724,995.06
  5. Step 5: Solve for x
    x = 58,091,724,995.06/160,888.50
  6. Step 6: Final answer
    x = 361,068.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.