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Finding the Third Proportional to 168,152 and 245,762

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Solution

The third proportional to 168,152 and 245,762 is: 359,192.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,152 : 245,762 = 245,762 : x
  2. Step 2: Convert to fraction form
    168,152/245,762 = 245,762/x
  3. Step 3: Cross multiply
    168,152x = 245,762 × 245,762
  4. Step 4: Simplify right side
    168,152x = 60,398,960,644
  5. Step 5: Solve for x
    x = 60,398,960,644/168,152
  6. Step 6: Final answer
    x = 359,192.64

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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.