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Finding the Third Proportional to 196,492.50 and 401,229

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Solution

The third proportional to 196,492.50 and 401,229 is: 819,291.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,492.50 : 401,229 = 401,229 : x
  2. Step 2: Convert to fraction form
    196,492.50/401,229 = 401,229/x
  3. Step 3: Cross multiply
    196,492.50x = 401,229 × 401,229
  4. Step 4: Simplify right side
    196,492.50x = 160,984,710,441
  5. Step 5: Solve for x
    x = 160,984,710,441/196,492.50
  6. Step 6: Final answer
    x = 819,291.88

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.