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Finding the Third Proportional to 109,587 and 233,295

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Solution

The third proportional to 109,587 and 233,295 is: 496,651.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,587 : 233,295 = 233,295 : x
  2. Step 2: Convert to fraction form
    109,587/233,295 = 233,295/x
  3. Step 3: Cross multiply
    109,587x = 233,295 × 233,295
  4. Step 4: Simplify right side
    109,587x = 54,426,557,025
  5. Step 5: Solve for x
    x = 54,426,557,025/109,587
  6. Step 6: Final answer
    x = 496,651.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.