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Finding the Third Proportional to 88,232 and 192,784

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Solution

The third proportional to 88,232 and 192,784 is: 421,226.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,232 : 192,784 = 192,784 : x
  2. Step 2: Convert to fraction form
    88,232/192,784 = 192,784/x
  3. Step 3: Cross multiply
    88,232x = 192,784 × 192,784
  4. Step 4: Simplify right side
    88,232x = 37,165,670,656
  5. Step 5: Solve for x
    x = 37,165,670,656/88,232
  6. Step 6: Final answer
    x = 421,226.66

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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.