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Finding the Third Proportional to 107,468 and 234,622

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Solution

The third proportional to 107,468 and 234,622 is: 512,222.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,468 : 234,622 = 234,622 : x
  2. Step 2: Convert to fraction form
    107,468/234,622 = 234,622/x
  3. Step 3: Cross multiply
    107,468x = 234,622 × 234,622
  4. Step 4: Simplify right side
    107,468x = 55,047,482,884
  5. Step 5: Solve for x
    x = 55,047,482,884/107,468
  6. Step 6: Final answer
    x = 512,222.08

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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.