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Finding the Third Proportional to 163,294 and 247,401

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Solution

The third proportional to 163,294 and 247,401 is: 374,828.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,294 : 247,401 = 247,401 : x
  2. Step 2: Convert to fraction form
    163,294/247,401 = 247,401/x
  3. Step 3: Cross multiply
    163,294x = 247,401 × 247,401
  4. Step 4: Simplify right side
    163,294x = 61,207,254,801
  5. Step 5: Solve for x
    x = 61,207,254,801/163,294
  6. Step 6: Final answer
    x = 374,828.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.