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Finding the Third Proportional to 133,522 and 293,270

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Solution

The third proportional to 133,522 and 293,270 is: 644,143.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,522 : 293,270 = 293,270 : x
  2. Step 2: Convert to fraction form
    133,522/293,270 = 293,270/x
  3. Step 3: Cross multiply
    133,522x = 293,270 × 293,270
  4. Step 4: Simplify right side
    133,522x = 86,007,292,900
  5. Step 5: Solve for x
    x = 86,007,292,900/133,522
  6. Step 6: Final answer
    x = 644,143.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.