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Finding the Third Proportional to 163,262 and 239,304

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Solution

The third proportional to 163,262 and 239,304 is: 350,763.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,262 : 239,304 = 239,304 : x
  2. Step 2: Convert to fraction form
    163,262/239,304 = 239,304/x
  3. Step 3: Cross multiply
    163,262x = 239,304 × 239,304
  4. Step 4: Simplify right side
    163,262x = 57,266,404,416
  5. Step 5: Solve for x
    x = 57,266,404,416/163,262
  6. Step 6: Final answer
    x = 350,763.83

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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.