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Finding the Third Proportional to 168,754 and 246,468

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Solution

The third proportional to 168,754 and 246,468 is: 359,970.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,754 : 246,468 = 246,468 : x
  2. Step 2: Convert to fraction form
    168,754/246,468 = 246,468/x
  3. Step 3: Cross multiply
    168,754x = 246,468 × 246,468
  4. Step 4: Simplify right side
    168,754x = 60,746,475,024
  5. Step 5: Solve for x
    x = 60,746,475,024/168,754
  6. Step 6: Final answer
    x = 359,970.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.