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Finding the Third Proportional to 191,698.59 and 403,228.17

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Solution

The third proportional to 191,698.59 and 403,228.17 is: 848,169.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,698.59 : 403,228.17 = 403,228.17 : x
  2. Step 2: Convert to fraction form
    191,698.59/403,228.17 = 403,228.17/x
  3. Step 3: Cross multiply
    191,698.59x = 403,228.17 × 403,228.17
  4. Step 4: Simplify right side
    191,698.59x = 162,592,958,593.66
  5. Step 5: Solve for x
    x = 162,592,958,593.66/191,698.59
  6. Step 6: Final answer
    x = 848,169.80

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.