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Finding the Third Proportional to 171,328.50 and 379,377

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Solution

The third proportional to 171,328.50 and 379,377 is: 840,064.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,328.50 : 379,377 = 379,377 : x
  2. Step 2: Convert to fraction form
    171,328.50/379,377 = 379,377/x
  3. Step 3: Cross multiply
    171,328.50x = 379,377 × 379,377
  4. Step 4: Simplify right side
    171,328.50x = 143,926,908,129
  5. Step 5: Solve for x
    x = 143,926,908,129/171,328.50
  6. Step 6: Final answer
    x = 840,064.02

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.