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Finding the Third Proportional to 191,236 and 415,640

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Solution

The third proportional to 191,236 and 415,640 is: 903,368.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,236 : 415,640 = 415,640 : x
  2. Step 2: Convert to fraction form
    191,236/415,640 = 415,640/x
  3. Step 3: Cross multiply
    191,236x = 415,640 × 415,640
  4. Step 4: Simplify right side
    191,236x = 172,756,609,600
  5. Step 5: Solve for x
    x = 172,756,609,600/191,236
  6. Step 6: Final answer
    x = 903,368.66

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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.