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Finding the Third Proportional to 132,480 and 204,673

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Solution

The third proportional to 132,480 and 204,673 is: 316,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,480 : 204,673 = 204,673 : x
  2. Step 2: Convert to fraction form
    132,480/204,673 = 204,673/x
  3. Step 3: Cross multiply
    132,480x = 204,673 × 204,673
  4. Step 4: Simplify right side
    132,480x = 41,891,036,929
  5. Step 5: Solve for x
    x = 41,891,036,929/132,480
  6. Step 6: Final answer
    x = 316,206.50

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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.