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Finding the Third Proportional to 191,176 and 415,886

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Solution

The third proportional to 191,176 and 415,886 is: 904,722.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,176 : 415,886 = 415,886 : x
  2. Step 2: Convert to fraction form
    191,176/415,886 = 415,886/x
  3. Step 3: Cross multiply
    191,176x = 415,886 × 415,886
  4. Step 4: Simplify right side
    191,176x = 172,961,164,996
  5. Step 5: Solve for x
    x = 172,961,164,996/191,176
  6. Step 6: Final answer
    x = 904,722.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.