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Finding the Third Proportional to 191,860 and 411,368

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Solution

The third proportional to 191,860 and 411,368 is: 882,016.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,860 : 411,368 = 411,368 : x
  2. Step 2: Convert to fraction form
    191,860/411,368 = 411,368/x
  3. Step 3: Cross multiply
    191,860x = 411,368 × 411,368
  4. Step 4: Simplify right side
    191,860x = 169,223,631,424
  5. Step 5: Solve for x
    x = 169,223,631,424/191,860
  6. Step 6: Final answer
    x = 882,016.22

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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.