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Finding the Third Proportional to 191,155 and 415,536

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Solution

The third proportional to 191,155 and 415,536 is: 903,299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,155 : 415,536 = 415,536 : x
  2. Step 2: Convert to fraction form
    191,155/415,536 = 415,536/x
  3. Step 3: Cross multiply
    191,155x = 415,536 × 415,536
  4. Step 4: Simplify right side
    191,155x = 172,670,167,296
  5. Step 5: Solve for x
    x = 172,670,167,296/191,155
  6. Step 6: Final answer
    x = 903,299.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.