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Finding the Third Proportional to 133,552 and 293,984

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Solution

The third proportional to 133,552 and 293,984 is: 647,138.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,552 : 293,984 = 293,984 : x
  2. Step 2: Convert to fraction form
    133,552/293,984 = 293,984/x
  3. Step 3: Cross multiply
    133,552x = 293,984 × 293,984
  4. Step 4: Simplify right side
    133,552x = 86,426,592,256
  5. Step 5: Solve for x
    x = 86,426,592,256/133,552
  6. Step 6: Final answer
    x = 647,138.14

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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.