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Finding the Third Proportional to 174,340 and 245,510

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Solution

The third proportional to 174,340 and 245,510 is: 345,733.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,340 : 245,510 = 245,510 : x
  2. Step 2: Convert to fraction form
    174,340/245,510 = 245,510/x
  3. Step 3: Cross multiply
    174,340x = 245,510 × 245,510
  4. Step 4: Simplify right side
    174,340x = 60,275,160,100
  5. Step 5: Solve for x
    x = 60,275,160,100/174,340
  6. Step 6: Final answer
    x = 345,733.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.