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Finding the Third Proportional to 196,957.83 and 308,644.17

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Solution

The third proportional to 196,957.83 and 308,644.17 is: 483,663.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,957.83 : 308,644.17 = 308,644.17 : x
  2. Step 2: Convert to fraction form
    196,957.83/308,644.17 = 308,644.17/x
  3. Step 3: Cross multiply
    196,957.83x = 308,644.17 × 308,644.17
  4. Step 4: Simplify right side
    196,957.83x = 95,261,224,832.40
  5. Step 5: Solve for x
    x = 95,261,224,832.40/196,957.83
  6. Step 6: Final answer
    x = 483,663.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.