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Finding the Third Proportional to 168,352 and 363,410

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Solution

The third proportional to 168,352 and 363,410 is: 784,468.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,352 : 363,410 = 363,410 : x
  2. Step 2: Convert to fraction form
    168,352/363,410 = 363,410/x
  3. Step 3: Cross multiply
    168,352x = 363,410 × 363,410
  4. Step 4: Simplify right side
    168,352x = 132,066,828,100
  5. Step 5: Solve for x
    x = 132,066,828,100/168,352
  6. Step 6: Final answer
    x = 784,468.42

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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.