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Finding the Third Proportional to 163,715 and 244,564

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Solution

The third proportional to 163,715 and 244,564 is: 365,339.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,715 : 244,564 = 244,564 : x
  2. Step 2: Convert to fraction form
    163,715/244,564 = 244,564/x
  3. Step 3: Cross multiply
    163,715x = 244,564 × 244,564
  4. Step 4: Simplify right side
    163,715x = 59,811,550,096
  5. Step 5: Solve for x
    x = 59,811,550,096/163,715
  6. Step 6: Final answer
    x = 365,339.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.