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Finding the Third Proportional to 191,605 and 290,057

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Solution

The third proportional to 191,605 and 290,057 is: 439,096.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,605 : 290,057 = 290,057 : x
  2. Step 2: Convert to fraction form
    191,605/290,057 = 290,057/x
  3. Step 3: Cross multiply
    191,605x = 290,057 × 290,057
  4. Step 4: Simplify right side
    191,605x = 84,133,063,249
  5. Step 5: Solve for x
    x = 84,133,063,249/191,605
  6. Step 6: Final answer
    x = 439,096.39

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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.