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Finding the Third Proportional to 189,648.84 and 403,434.84

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Solution

The third proportional to 189,648.84 and 403,434.84 is: 858,216.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,648.84 : 403,434.84 = 403,434.84 : x
  2. Step 2: Convert to fraction form
    189,648.84/403,434.84 = 403,434.84/x
  3. Step 3: Cross multiply
    189,648.84x = 403,434.84 × 403,434.84
  4. Step 4: Simplify right side
    189,648.84x = 162,759,673,151.59
  5. Step 5: Solve for x
    x = 162,759,673,151.59/189,648.84
  6. Step 6: Final answer
    x = 858,216.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.