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Finding the Third Proportional to 191,051 and 415,271

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Solution

The third proportional to 191,051 and 415,271 is: 902,638.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,051 : 415,271 = 415,271 : x
  2. Step 2: Convert to fraction form
    191,051/415,271 = 415,271/x
  3. Step 3: Cross multiply
    191,051x = 415,271 × 415,271
  4. Step 4: Simplify right side
    191,051x = 172,450,003,441
  5. Step 5: Solve for x
    x = 172,450,003,441/191,051
  6. Step 6: Final answer
    x = 902,638.58

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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.