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Finding the Third Proportional to 191,054 and 415,277

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Solution

The third proportional to 191,054 and 415,277 is: 902,650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,054 : 415,277 = 415,277 : x
  2. Step 2: Convert to fraction form
    191,054/415,277 = 415,277/x
  3. Step 3: Cross multiply
    191,054x = 415,277 × 415,277
  4. Step 4: Simplify right side
    191,054x = 172,454,986,729
  5. Step 5: Solve for x
    x = 172,454,986,729/191,054
  6. Step 6: Final answer
    x = 902,650.49

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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.