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Finding the Third Proportional to 191,822 and 290,397

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Solution

The third proportional to 191,822 and 290,397 is: 439,628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,822 : 290,397 = 290,397 : x
  2. Step 2: Convert to fraction form
    191,822/290,397 = 290,397/x
  3. Step 3: Cross multiply
    191,822x = 290,397 × 290,397
  4. Step 4: Simplify right side
    191,822x = 84,330,417,609
  5. Step 5: Solve for x
    x = 84,330,417,609/191,822
  6. Step 6: Final answer
    x = 439,628.50

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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.