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Finding the Third Proportional to 196,852.78 and 308,854.90

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Solution

The third proportional to 196,852.78 and 308,854.90 is: 484,582.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,852.78 : 308,854.90 = 308,854.90 : x
  2. Step 2: Convert to fraction form
    196,852.78/308,854.90 = 308,854.90/x
  3. Step 3: Cross multiply
    196,852.78x = 308,854.90 × 308,854.90
  4. Step 4: Simplify right side
    196,852.78x = 95,391,348,288.84
  5. Step 5: Solve for x
    x = 95,391,348,288.84/196,852.78
  6. Step 6: Final answer
    x = 484,582.17

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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.