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Finding the Third Proportional to 191,828.25 and 290,415.38

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Solution

The third proportional to 191,828.25 and 290,415.38 is: 439,669.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,828.25 : 290,415.38 = 290,415.38 : x
  2. Step 2: Convert to fraction form
    191,828.25/290,415.38 = 290,415.38/x
  3. Step 3: Cross multiply
    191,828.25x = 290,415.38 × 290,415.38
  4. Step 4: Simplify right side
    191,828.25x = 84,341,090,036.39
  5. Step 5: Solve for x
    x = 84,341,090,036.39/191,828.25
  6. Step 6: Final answer
    x = 439,669.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.