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Finding the Third Proportional to 163,721 and 244,572

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Solution

The third proportional to 163,721 and 244,572 is: 365,349.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,721 : 244,572 = 244,572 : x
  2. Step 2: Convert to fraction form
    163,721/244,572 = 244,572/x
  3. Step 3: Cross multiply
    163,721x = 244,572 × 244,572
  4. Step 4: Simplify right side
    163,721x = 59,815,463,184
  5. Step 5: Solve for x
    x = 59,815,463,184/163,721
  6. Step 6: Final answer
    x = 365,349.97

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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.