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Finding the Third Proportional to 163,575 and 239,962

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Solution

The third proportional to 163,575 and 239,962 is: 352,020.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,575 : 239,962 = 239,962 : x
  2. Step 2: Convert to fraction form
    163,575/239,962 = 239,962/x
  3. Step 3: Cross multiply
    163,575x = 239,962 × 239,962
  4. Step 4: Simplify right side
    163,575x = 57,581,761,444
  5. Step 5: Solve for x
    x = 57,581,761,444/163,575
  6. Step 6: Final answer
    x = 352,020.55

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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.