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Finding the Third Proportional to 196,164 and 415,871

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Solution

The third proportional to 196,164 and 415,871 is: 881,653.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,164 : 415,871 = 415,871 : x
  2. Step 2: Convert to fraction form
    196,164/415,871 = 415,871/x
  3. Step 3: Cross multiply
    196,164x = 415,871 × 415,871
  4. Step 4: Simplify right side
    196,164x = 172,948,688,641
  5. Step 5: Solve for x
    x = 172,948,688,641/196,164
  6. Step 6: Final answer
    x = 881,653.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.