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Finding the Third Proportional to 176,180 and 272,046

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Solution

The third proportional to 176,180 and 272,046 is: 420,076.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,180 : 272,046 = 272,046 : x
  2. Step 2: Convert to fraction form
    176,180/272,046 = 272,046/x
  3. Step 3: Cross multiply
    176,180x = 272,046 × 272,046
  4. Step 4: Simplify right side
    176,180x = 74,009,026,116
  5. Step 5: Solve for x
    x = 74,009,026,116/176,180
  6. Step 6: Final answer
    x = 420,076.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.