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Finding the Third Proportional to 168,020 and 266,180.75

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Solution

The third proportional to 168,020 and 266,180.75 is: 421,689.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,020 : 266,180.75 = 266,180.75 : x
  2. Step 2: Convert to fraction form
    168,020/266,180.75 = 266,180.75/x
  3. Step 3: Cross multiply
    168,020x = 266,180.75 × 266,180.75
  4. Step 4: Simplify right side
    168,020x = 70,852,191,670.56
  5. Step 5: Solve for x
    x = 70,852,191,670.56/168,020
  6. Step 6: Final answer
    x = 421,689.04

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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.