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Finding the Third Proportional to 191,061 and 415,297.50

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Solution

The third proportional to 191,061 and 415,297.50 is: 902,706.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,061 : 415,297.50 = 415,297.50 : x
  2. Step 2: Convert to fraction form
    191,061/415,297.50 = 415,297.50/x
  3. Step 3: Cross multiply
    191,061x = 415,297.50 × 415,297.50
  4. Step 4: Simplify right side
    191,061x = 172,472,013,506.25
  5. Step 5: Solve for x
    x = 172,472,013,506.25/191,061
  6. Step 6: Final answer
    x = 902,706.54

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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.