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Finding the Third Proportional to 196,744.50 and 288,658.13

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Solution

The third proportional to 196,744.50 and 288,658.13 is: 423,511.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,744.50 : 288,658.13 = 288,658.13 : x
  2. Step 2: Convert to fraction form
    196,744.50/288,658.13 = 288,658.13/x
  3. Step 3: Cross multiply
    196,744.50x = 288,658.13 × 288,658.13
  4. Step 4: Simplify right side
    196,744.50x = 83,323,513,128.52
  5. Step 5: Solve for x
    x = 83,323,513,128.52/196,744.50
  6. Step 6: Final answer
    x = 423,511.27

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.