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Finding the Third Proportional to 168,910 and 358,550

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Solution

The third proportional to 168,910 and 358,550 is: 761,104.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,910 : 358,550 = 358,550 : x
  2. Step 2: Convert to fraction form
    168,910/358,550 = 358,550/x
  3. Step 3: Cross multiply
    168,910x = 358,550 × 358,550
  4. Step 4: Simplify right side
    168,910x = 128,558,102,500
  5. Step 5: Solve for x
    x = 128,558,102,500/168,910
  6. Step 6: Final answer
    x = 761,104.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.