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Finding the Third Proportional to 163,728 and 240,984

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Solution

The third proportional to 163,728 and 240,984 is: 354,693.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,728 : 240,984 = 240,984 : x
  2. Step 2: Convert to fraction form
    163,728/240,984 = 240,984/x
  3. Step 3: Cross multiply
    163,728x = 240,984 × 240,984
  4. Step 4: Simplify right side
    163,728x = 58,073,288,256
  5. Step 5: Solve for x
    x = 58,073,288,256/163,728
  6. Step 6: Final answer
    x = 354,693.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.