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Finding the Third Proportional to 113,784 and 180,864

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Solution

The third proportional to 113,784 and 180,864 is: 287,490.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,784 : 180,864 = 180,864 : x
  2. Step 2: Convert to fraction form
    113,784/180,864 = 180,864/x
  3. Step 3: Cross multiply
    113,784x = 180,864 × 180,864
  4. Step 4: Simplify right side
    113,784x = 32,711,786,496
  5. Step 5: Solve for x
    x = 32,711,786,496/113,784
  6. Step 6: Final answer
    x = 287,490.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.