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Finding the Third Proportional to 196,392 and 426,048

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Solution

The third proportional to 196,392 and 426,048 is: 924,258.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,392 : 426,048 = 426,048 : x
  2. Step 2: Convert to fraction form
    196,392/426,048 = 426,048/x
  3. Step 3: Cross multiply
    196,392x = 426,048 × 426,048
  4. Step 4: Simplify right side
    196,392x = 181,516,898,304
  5. Step 5: Solve for x
    x = 181,516,898,304/196,392
  6. Step 6: Final answer
    x = 924,258.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.