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Finding the Third Proportional to 241,416 and 367,308

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Solution

The third proportional to 241,416 and 367,308 is: 558,849.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,416 : 367,308 = 367,308 : x
  2. Step 2: Convert to fraction form
    241,416/367,308 = 367,308/x
  3. Step 3: Cross multiply
    241,416x = 367,308 × 367,308
  4. Step 4: Simplify right side
    241,416x = 134,915,166,864
  5. Step 5: Solve for x
    x = 134,915,166,864/241,416
  6. Step 6: Final answer
    x = 558,849.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.