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Finding the Third Proportional to 191,726 and 411,208

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Solution

The third proportional to 191,726 and 411,208 is: 881,946.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,726 : 411,208 = 411,208 : x
  2. Step 2: Convert to fraction form
    191,726/411,208 = 411,208/x
  3. Step 3: Cross multiply
    191,726x = 411,208 × 411,208
  4. Step 4: Simplify right side
    191,726x = 169,092,019,264
  5. Step 5: Solve for x
    x = 169,092,019,264/191,726
  6. Step 6: Final answer
    x = 881,946.21

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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.