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Finding the Third Proportional to 119,872 and 262,784

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Solution

The third proportional to 119,872 and 262,784 is: 576,076.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,872 : 262,784 = 262,784 : x
  2. Step 2: Convert to fraction form
    119,872/262,784 = 262,784/x
  3. Step 3: Cross multiply
    119,872x = 262,784 × 262,784
  4. Step 4: Simplify right side
    119,872x = 69,055,430,656
  5. Step 5: Solve for x
    x = 69,055,430,656/119,872
  6. Step 6: Final answer
    x = 576,076.40

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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.