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Finding the Third Proportional to 174,560 and 375,848

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Solution

The third proportional to 174,560 and 375,848 is: 809,244.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,560 : 375,848 = 375,848 : x
  2. Step 2: Convert to fraction form
    174,560/375,848 = 375,848/x
  3. Step 3: Cross multiply
    174,560x = 375,848 × 375,848
  4. Step 4: Simplify right side
    174,560x = 141,261,719,104
  5. Step 5: Solve for x
    x = 141,261,719,104/174,560
  6. Step 6: Final answer
    x = 809,244.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.