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Finding the Third Proportional to 196,368 and 424,104

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Solution

The third proportional to 196,368 and 424,104 is: 915,954.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,368 : 424,104 = 424,104 : x
  2. Step 2: Convert to fraction form
    196,368/424,104 = 424,104/x
  3. Step 3: Cross multiply
    196,368x = 424,104 × 424,104
  4. Step 4: Simplify right side
    196,368x = 179,864,202,816
  5. Step 5: Solve for x
    x = 179,864,202,816/196,368
  6. Step 6: Final answer
    x = 915,954.75

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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.