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Finding the Third Proportional to 119,038 and 191,392

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Solution

The third proportional to 119,038 and 191,392 is: 307,724.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,038 : 191,392 = 191,392 : x
  2. Step 2: Convert to fraction form
    119,038/191,392 = 191,392/x
  3. Step 3: Cross multiply
    119,038x = 191,392 × 191,392
  4. Step 4: Simplify right side
    119,038x = 36,630,897,664
  5. Step 5: Solve for x
    x = 36,630,897,664/119,038
  6. Step 6: Final answer
    x = 307,724.40

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.