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Finding the Third Proportional to 119,927.25 and 264,001.50

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Solution

The third proportional to 119,927.25 and 264,001.50 is: 581,158.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,927.25 : 264,001.50 = 264,001.50 : x
  2. Step 2: Convert to fraction form
    119,927.25/264,001.50 = 264,001.50/x
  3. Step 3: Cross multiply
    119,927.25x = 264,001.50 × 264,001.50
  4. Step 4: Simplify right side
    119,927.25x = 69,696,792,002.25
  5. Step 5: Solve for x
    x = 69,696,792,002.25/119,927.25
  6. Step 6: Final answer
    x = 581,158.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.