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Finding the Third Proportional to 251,704 and 386,308

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Solution

The third proportional to 251,704 and 386,308 is: 592,894.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,704 : 386,308 = 386,308 : x
  2. Step 2: Convert to fraction form
    251,704/386,308 = 386,308/x
  3. Step 3: Cross multiply
    251,704x = 386,308 × 386,308
  4. Step 4: Simplify right side
    251,704x = 149,233,870,864
  5. Step 5: Solve for x
    x = 149,233,870,864/251,704
  6. Step 6: Final answer
    x = 592,894.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.