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Finding the Third Proportional to 168,019 and 266,179

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Solution

The third proportional to 168,019 and 266,179 is: 421,686.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,019 : 266,179 = 266,179 : x
  2. Step 2: Convert to fraction form
    168,019/266,179 = 266,179/x
  3. Step 3: Cross multiply
    168,019x = 266,179 × 266,179
  4. Step 4: Simplify right side
    168,019x = 70,851,260,041
  5. Step 5: Solve for x
    x = 70,851,260,041/168,019
  6. Step 6: Final answer
    x = 421,686.00

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.