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Finding the Third Proportional to 106,669 and 235,482

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Solution

The third proportional to 106,669 and 235,482 is: 519,848.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,669 : 235,482 = 235,482 : x
  2. Step 2: Convert to fraction form
    106,669/235,482 = 235,482/x
  3. Step 3: Cross multiply
    106,669x = 235,482 × 235,482
  4. Step 4: Simplify right side
    106,669x = 55,451,772,324
  5. Step 5: Solve for x
    x = 55,451,772,324/106,669
  6. Step 6: Final answer
    x = 519,848.99

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.