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Finding the Third Proportional to 119,040 and 260,736

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Solution

The third proportional to 119,040 and 260,736 is: 571,095.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,040 : 260,736 = 260,736 : x
  2. Step 2: Convert to fraction form
    119,040/260,736 = 260,736/x
  3. Step 3: Cross multiply
    119,040x = 260,736 × 260,736
  4. Step 4: Simplify right side
    119,040x = 67,983,261,696
  5. Step 5: Solve for x
    x = 67,983,261,696/119,040
  6. Step 6: Final answer
    x = 571,095.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.