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Finding the Third Proportional to 168,664 and 362,342

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Solution

The third proportional to 168,664 and 362,342 is: 778,421.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,664 : 362,342 = 362,342 : x
  2. Step 2: Convert to fraction form
    168,664/362,342 = 362,342/x
  3. Step 3: Cross multiply
    168,664x = 362,342 × 362,342
  4. Step 4: Simplify right side
    168,664x = 131,291,724,964
  5. Step 5: Solve for x
    x = 131,291,724,964/168,664
  6. Step 6: Final answer
    x = 778,421.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.