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Finding the Third Proportional to 175,064 and 270,372

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Solution

The third proportional to 175,064 and 270,372 is: 417,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,064 : 270,372 = 270,372 : x
  2. Step 2: Convert to fraction form
    175,064/270,372 = 270,372/x
  3. Step 3: Cross multiply
    175,064x = 270,372 × 270,372
  4. Step 4: Simplify right side
    175,064x = 73,101,018,384
  5. Step 5: Solve for x
    x = 73,101,018,384/175,064
  6. Step 6: Final answer
    x = 417,567.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.