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Finding the Third Proportional to 113,354 and 176,331

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Solution

The third proportional to 113,354 and 176,331 is: 274,296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,354 : 176,331 = 176,331 : x
  2. Step 2: Convert to fraction form
    113,354/176,331 = 176,331/x
  3. Step 3: Cross multiply
    113,354x = 176,331 × 176,331
  4. Step 4: Simplify right side
    113,354x = 31,092,621,561
  5. Step 5: Solve for x
    x = 31,092,621,561/113,354
  6. Step 6: Final answer
    x = 274,296.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.