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Finding the Third Proportional to 191,808 and 417,339

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Solution

The third proportional to 191,808 and 417,339 is: 908,053.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,808 : 417,339 = 417,339 : x
  2. Step 2: Convert to fraction form
    191,808/417,339 = 417,339/x
  3. Step 3: Cross multiply
    191,808x = 417,339 × 417,339
  4. Step 4: Simplify right side
    191,808x = 174,171,840,921
  5. Step 5: Solve for x
    x = 174,171,840,921/191,808
  6. Step 6: Final answer
    x = 908,053.06

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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.