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Finding the Third Proportional to 160,222 and 251,332

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Solution

The third proportional to 160,222 and 251,332 is: 394,251.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,222 : 251,332 = 251,332 : x
  2. Step 2: Convert to fraction form
    160,222/251,332 = 251,332/x
  3. Step 3: Cross multiply
    160,222x = 251,332 × 251,332
  4. Step 4: Simplify right side
    160,222x = 63,167,774,224
  5. Step 5: Solve for x
    x = 63,167,774,224/160,222
  6. Step 6: Final answer
    x = 394,251.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.