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Finding the Third Proportional to 176,546 and 270,118

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Solution

The third proportional to 176,546 and 270,118 is: 413,284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,546 : 270,118 = 270,118 : x
  2. Step 2: Convert to fraction form
    176,546/270,118 = 270,118/x
  3. Step 3: Cross multiply
    176,546x = 270,118 × 270,118
  4. Step 4: Simplify right side
    176,546x = 72,963,733,924
  5. Step 5: Solve for x
    x = 72,963,733,924/176,546
  6. Step 6: Final answer
    x = 413,284.55

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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.