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Finding the Third Proportional to 163,748 and 244,608

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Solution

The third proportional to 163,748 and 244,608 is: 365,397.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,748 : 244,608 = 244,608 : x
  2. Step 2: Convert to fraction form
    163,748/244,608 = 244,608/x
  3. Step 3: Cross multiply
    163,748x = 244,608 × 244,608
  4. Step 4: Simplify right side
    163,748x = 59,833,073,664
  5. Step 5: Solve for x
    x = 59,833,073,664/163,748
  6. Step 6: Final answer
    x = 365,397.28

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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.