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Finding the Third Proportional to 196,350 and 416,070

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Solution

The third proportional to 196,350 and 416,070 is: 881,661.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,350 : 416,070 = 416,070 : x
  2. Step 2: Convert to fraction form
    196,350/416,070 = 416,070/x
  3. Step 3: Cross multiply
    196,350x = 416,070 × 416,070
  4. Step 4: Simplify right side
    196,350x = 173,114,244,900
  5. Step 5: Solve for x
    x = 173,114,244,900/196,350
  6. Step 6: Final answer
    x = 881,661.55

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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.