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Finding the Third Proportional to 191,698.95 and 403,228.76

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Solution

The third proportional to 191,698.95 and 403,228.76 is: 848,170.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,698.95 : 403,228.76 = 403,228.76 : x
  2. Step 2: Convert to fraction form
    191,698.95/403,228.76 = 403,228.76/x
  3. Step 3: Cross multiply
    191,698.95x = 403,228.76 × 403,228.76
  4. Step 4: Simplify right side
    191,698.95x = 162,593,431,127.01
  5. Step 5: Solve for x
    x = 162,593,431,127.01/191,698.95
  6. Step 6: Final answer
    x = 848,170.71

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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.