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Finding the Third Proportional to 162,294 and 349,554

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Solution

The third proportional to 162,294 and 349,554 is: 752,880.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,294 : 349,554 = 349,554 : x
  2. Step 2: Convert to fraction form
    162,294/349,554 = 349,554/x
  3. Step 3: Cross multiply
    162,294x = 349,554 × 349,554
  4. Step 4: Simplify right side
    162,294x = 122,187,998,916
  5. Step 5: Solve for x
    x = 122,187,998,916/162,294
  6. Step 6: Final answer
    x = 752,880.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.