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Finding the Third Proportional to 191,547 and 411,921

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Solution

The third proportional to 191,547 and 411,921 is: 885,834.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,547 : 411,921 = 411,921 : x
  2. Step 2: Convert to fraction form
    191,547/411,921 = 411,921/x
  3. Step 3: Cross multiply
    191,547x = 411,921 × 411,921
  4. Step 4: Simplify right side
    191,547x = 169,678,910,241
  5. Step 5: Solve for x
    x = 169,678,910,241/191,547
  6. Step 6: Final answer
    x = 885,834.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.