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Finding the Third Proportional to 174,254 and 245,394

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Solution

The third proportional to 174,254 and 245,394 is: 345,577.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,254 : 245,394 = 245,394 : x
  2. Step 2: Convert to fraction form
    174,254/245,394 = 245,394/x
  3. Step 3: Cross multiply
    174,254x = 245,394 × 245,394
  4. Step 4: Simplify right side
    174,254x = 60,218,215,236
  5. Step 5: Solve for x
    x = 60,218,215,236/174,254
  6. Step 6: Final answer
    x = 345,577.23

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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.