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Finding the Third Proportional to 176,272 and 384,118

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Solution

The third proportional to 176,272 and 384,118 is: 837,039.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,272 : 384,118 = 384,118 : x
  2. Step 2: Convert to fraction form
    176,272/384,118 = 384,118/x
  3. Step 3: Cross multiply
    176,272x = 384,118 × 384,118
  4. Step 4: Simplify right side
    176,272x = 147,546,637,924
  5. Step 5: Solve for x
    x = 147,546,637,924/176,272
  6. Step 6: Final answer
    x = 837,039.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.