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Finding the Third Proportional to 113,360 and 176,340

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Solution

The third proportional to 113,360 and 176,340 is: 274,310.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,360 : 176,340 = 176,340 : x
  2. Step 2: Convert to fraction form
    113,360/176,340 = 176,340/x
  3. Step 3: Cross multiply
    113,360x = 176,340 × 176,340
  4. Step 4: Simplify right side
    113,360x = 31,095,795,600
  5. Step 5: Solve for x
    x = 31,095,795,600/113,360
  6. Step 6: Final answer
    x = 274,310.12

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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.