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Finding the Third Proportional to 174,237 and 245,370

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Solution

The third proportional to 174,237 and 245,370 is: 345,543.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,237 : 245,370 = 245,370 : x
  2. Step 2: Convert to fraction form
    174,237/245,370 = 245,370/x
  3. Step 3: Cross multiply
    174,237x = 245,370 × 245,370
  4. Step 4: Simplify right side
    174,237x = 60,206,436,900
  5. Step 5: Solve for x
    x = 60,206,436,900/174,237
  6. Step 6: Final answer
    x = 345,543.35

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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.