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Finding the Third Proportional to 191,088 and 404,955

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Solution

The third proportional to 191,088 and 404,955 is: 858,183.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,088 : 404,955 = 404,955 : x
  2. Step 2: Convert to fraction form
    191,088/404,955 = 404,955/x
  3. Step 3: Cross multiply
    191,088x = 404,955 × 404,955
  4. Step 4: Simplify right side
    191,088x = 163,988,552,025
  5. Step 5: Solve for x
    x = 163,988,552,025/191,088
  6. Step 6: Final answer
    x = 858,183.41

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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.