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Finding the Third Proportional to 182,064.38 and 371,358

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Solution

The third proportional to 182,064.38 and 371,358 is: 757,461.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,064.38 : 371,358 = 371,358 : x
  2. Step 2: Convert to fraction form
    182,064.38/371,358 = 371,358/x
  3. Step 3: Cross multiply
    182,064.38x = 371,358 × 371,358
  4. Step 4: Simplify right side
    182,064.38x = 137,906,764,164
  5. Step 5: Solve for x
    x = 137,906,764,164/182,064.38
  6. Step 6: Final answer
    x = 757,461.55

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.