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Finding the Third Proportional to 110,565 and 238,482

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Solution

The third proportional to 110,565 and 238,482 is: 514,391.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,565 : 238,482 = 238,482 : x
  2. Step 2: Convert to fraction form
    110,565/238,482 = 238,482/x
  3. Step 3: Cross multiply
    110,565x = 238,482 × 238,482
  4. Step 4: Simplify right side
    110,565x = 56,873,664,324
  5. Step 5: Solve for x
    x = 56,873,664,324/110,565
  6. Step 6: Final answer
    x = 514,391.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.