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Finding the Third Proportional to 191,700 and 411,156

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Solution

The third proportional to 191,700 and 411,156 is: 881,842.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,700 : 411,156 = 411,156 : x
  2. Step 2: Convert to fraction form
    191,700/411,156 = 411,156/x
  3. Step 3: Cross multiply
    191,700x = 411,156 × 411,156
  4. Step 4: Simplify right side
    191,700x = 169,049,256,336
  5. Step 5: Solve for x
    x = 169,049,256,336/191,700
  6. Step 6: Final answer
    x = 881,842.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.