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Finding the Third Proportional to 175,545 and 414,144

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Solution

The third proportional to 175,545 and 414,144 is: 977,044.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,545 : 414,144 = 414,144 : x
  2. Step 2: Convert to fraction form
    175,545/414,144 = 414,144/x
  3. Step 3: Cross multiply
    175,545x = 414,144 × 414,144
  4. Step 4: Simplify right side
    175,545x = 171,515,252,736
  5. Step 5: Solve for x
    x = 171,515,252,736/175,545
  6. Step 6: Final answer
    x = 977,044.36

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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.