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Finding the Third Proportional to 196,229.50 and 266,312

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Solution

The third proportional to 196,229.50 and 266,312 is: 361,424.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,229.50 : 266,312 = 266,312 : x
  2. Step 2: Convert to fraction form
    196,229.50/266,312 = 266,312/x
  3. Step 3: Cross multiply
    196,229.50x = 266,312 × 266,312
  4. Step 4: Simplify right side
    196,229.50x = 70,922,081,344
  5. Step 5: Solve for x
    x = 70,922,081,344/196,229.50
  6. Step 6: Final answer
    x = 361,424.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.