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Finding the Third Proportional to 169,486 and 373,020

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Solution

The third proportional to 169,486 and 373,020 is: 820,975.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,486 : 373,020 = 373,020 : x
  2. Step 2: Convert to fraction form
    169,486/373,020 = 373,020/x
  3. Step 3: Cross multiply
    169,486x = 373,020 × 373,020
  4. Step 4: Simplify right side
    169,486x = 139,143,920,400
  5. Step 5: Solve for x
    x = 139,143,920,400/169,486
  6. Step 6: Final answer
    x = 820,975.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.