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Finding the Third Proportional to 196,346 and 418,922

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Solution

The third proportional to 196,346 and 418,922 is: 893,808.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,346 : 418,922 = 418,922 : x
  2. Step 2: Convert to fraction form
    196,346/418,922 = 418,922/x
  3. Step 3: Cross multiply
    196,346x = 418,922 × 418,922
  4. Step 4: Simplify right side
    196,346x = 175,495,642,084
  5. Step 5: Solve for x
    x = 175,495,642,084/196,346
  6. Step 6: Final answer
    x = 893,808.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.