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Finding the Third Proportional to 191,327 and 417,101

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Solution

The third proportional to 191,327 and 417,101 is: 909,297.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,327 : 417,101 = 417,101 : x
  2. Step 2: Convert to fraction form
    191,327/417,101 = 417,101/x
  3. Step 3: Cross multiply
    191,327x = 417,101 × 417,101
  4. Step 4: Simplify right side
    191,327x = 173,973,244,201
  5. Step 5: Solve for x
    x = 173,973,244,201/191,327
  6. Step 6: Final answer
    x = 909,297.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.