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Finding the Third Proportional to 175,665 and 414,534

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Solution

The third proportional to 175,665 and 414,534 is: 978,216.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,665 : 414,534 = 414,534 : x
  2. Step 2: Convert to fraction form
    175,665/414,534 = 414,534/x
  3. Step 3: Cross multiply
    175,665x = 414,534 × 414,534
  4. Step 4: Simplify right side
    175,665x = 171,838,437,156
  5. Step 5: Solve for x
    x = 171,838,437,156/175,665
  6. Step 6: Final answer
    x = 978,216.70

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.