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Finding the Third Proportional to 163,579 and 239,968

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Solution

The third proportional to 163,579 and 239,968 is: 352,029.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,579 : 239,968 = 239,968 : x
  2. Step 2: Convert to fraction form
    163,579/239,968 = 239,968/x
  3. Step 3: Cross multiply
    163,579x = 239,968 × 239,968
  4. Step 4: Simplify right side
    163,579x = 57,584,641,024
  5. Step 5: Solve for x
    x = 57,584,641,024/163,579
  6. Step 6: Final answer
    x = 352,029.55

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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.