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Finding the Third Proportional to 168,358 and 363,420

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Solution

The third proportional to 168,358 and 363,420 is: 784,483.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,358 : 363,420 = 363,420 : x
  2. Step 2: Convert to fraction form
    168,358/363,420 = 363,420/x
  3. Step 3: Cross multiply
    168,358x = 363,420 × 363,420
  4. Step 4: Simplify right side
    168,358x = 132,074,096,400
  5. Step 5: Solve for x
    x = 132,074,096,400/168,358
  6. Step 6: Final answer
    x = 784,483.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.