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Finding the Third Proportional to 191,106 and 404,964

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Solution

The third proportional to 191,106 and 404,964 is: 858,140.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,106 : 404,964 = 404,964 : x
  2. Step 2: Convert to fraction form
    191,106/404,964 = 404,964/x
  3. Step 3: Cross multiply
    191,106x = 404,964 × 404,964
  4. Step 4: Simplify right side
    191,106x = 163,995,841,296
  5. Step 5: Solve for x
    x = 163,995,841,296/191,106
  6. Step 6: Final answer
    x = 858,140.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.