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Finding the Third Proportional to 174,352 and 276,232

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Solution

The third proportional to 174,352 and 276,232 is: 437,644.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,352 : 276,232 = 276,232 : x
  2. Step 2: Convert to fraction form
    174,352/276,232 = 276,232/x
  3. Step 3: Cross multiply
    174,352x = 276,232 × 276,232
  4. Step 4: Simplify right side
    174,352x = 76,304,117,824
  5. Step 5: Solve for x
    x = 76,304,117,824/174,352
  6. Step 6: Final answer
    x = 437,644.06

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.