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Finding the Third Proportional to 163,532 and 239,914

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Solution

The third proportional to 163,532 and 239,914 is: 351,972.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,532 : 239,914 = 239,914 : x
  2. Step 2: Convert to fraction form
    163,532/239,914 = 239,914/x
  3. Step 3: Cross multiply
    163,532x = 239,914 × 239,914
  4. Step 4: Simplify right side
    163,532x = 57,558,727,396
  5. Step 5: Solve for x
    x = 57,558,727,396/163,532
  6. Step 6: Final answer
    x = 351,972.26

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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.