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Finding the Third Proportional to 196,176.75 and 277,666.50

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Solution

The third proportional to 196,176.75 and 277,666.50 is: 393,006.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,176.75 : 277,666.50 = 277,666.50 : x
  2. Step 2: Convert to fraction form
    196,176.75/277,666.50 = 277,666.50/x
  3. Step 3: Cross multiply
    196,176.75x = 277,666.50 × 277,666.50
  4. Step 4: Simplify right side
    196,176.75x = 77,098,685,222.25
  5. Step 5: Solve for x
    x = 77,098,685,222.25/196,176.75
  6. Step 6: Final answer
    x = 393,006.23

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.