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Finding the Third Proportional to 191,817 and 290,391

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Solution

The third proportional to 191,817 and 290,391 is: 439,621.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,817 : 290,391 = 290,391 : x
  2. Step 2: Convert to fraction form
    191,817/290,391 = 290,391/x
  3. Step 3: Cross multiply
    191,817x = 290,391 × 290,391
  4. Step 4: Simplify right side
    191,817x = 84,326,932,881
  5. Step 5: Solve for x
    x = 84,326,932,881/191,817
  6. Step 6: Final answer
    x = 439,621.79

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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.