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Finding the Third Proportional to 119,822 and 260,784

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Solution

The third proportional to 119,822 and 260,784 is: 567,577.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,822 : 260,784 = 260,784 : x
  2. Step 2: Convert to fraction form
    119,822/260,784 = 260,784/x
  3. Step 3: Cross multiply
    119,822x = 260,784 × 260,784
  4. Step 4: Simplify right side
    119,822x = 68,008,294,656
  5. Step 5: Solve for x
    x = 68,008,294,656/119,822
  6. Step 6: Final answer
    x = 567,577.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.