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Finding the Third Proportional to 196,870 and 429,827

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Solution

The third proportional to 196,870 and 429,827 is: 938,442.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,870 : 429,827 = 429,827 : x
  2. Step 2: Convert to fraction form
    196,870/429,827 = 429,827/x
  3. Step 3: Cross multiply
    196,870x = 429,827 × 429,827
  4. Step 4: Simplify right side
    196,870x = 184,751,249,929
  5. Step 5: Solve for x
    x = 184,751,249,929/196,870
  6. Step 6: Final answer
    x = 938,442.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.