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Finding the Third Proportional to 163,726 and 244,577

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Solution

The third proportional to 163,726 and 244,577 is: 365,353.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,726 : 244,577 = 244,577 : x
  2. Step 2: Convert to fraction form
    163,726/244,577 = 244,577/x
  3. Step 3: Cross multiply
    163,726x = 244,577 × 244,577
  4. Step 4: Simplify right side
    163,726x = 59,817,908,929
  5. Step 5: Solve for x
    x = 59,817,908,929/163,726
  6. Step 6: Final answer
    x = 365,353.76

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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.