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Finding the Third Proportional to 174,292 and 245,436

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Solution

The third proportional to 174,292 and 245,436 is: 345,620.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,292 : 245,436 = 245,436 : x
  2. Step 2: Convert to fraction form
    174,292/245,436 = 245,436/x
  3. Step 3: Cross multiply
    174,292x = 245,436 × 245,436
  4. Step 4: Simplify right side
    174,292x = 60,238,830,096
  5. Step 5: Solve for x
    x = 60,238,830,096/174,292
  6. Step 6: Final answer
    x = 345,620.17

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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.