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Finding the Third Proportional to 196,360 and 424,088

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Solution

The third proportional to 196,360 and 424,088 is: 915,922.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,360 : 424,088 = 424,088 : x
  2. Step 2: Convert to fraction form
    196,360/424,088 = 424,088/x
  3. Step 3: Cross multiply
    196,360x = 424,088 × 424,088
  4. Step 4: Simplify right side
    196,360x = 179,850,631,744
  5. Step 5: Solve for x
    x = 179,850,631,744/196,360
  6. Step 6: Final answer
    x = 915,922.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.