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Finding the Third Proportional to 170,124 and 397,362

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Solution

The third proportional to 170,124 and 397,362 is: 928,126.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,124 : 397,362 = 397,362 : x
  2. Step 2: Convert to fraction form
    170,124/397,362 = 397,362/x
  3. Step 3: Cross multiply
    170,124x = 397,362 × 397,362
  4. Step 4: Simplify right side
    170,124x = 157,896,559,044
  5. Step 5: Solve for x
    x = 157,896,559,044/170,124
  6. Step 6: Final answer
    x = 928,126.30

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.