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Finding the Third Proportional to 132,928.88 and 204,321

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Solution

The third proportional to 132,928.88 and 204,321 is: 314,055.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,928.88 : 204,321 = 204,321 : x
  2. Step 2: Convert to fraction form
    132,928.88/204,321 = 204,321/x
  3. Step 3: Cross multiply
    132,928.88x = 204,321 × 204,321
  4. Step 4: Simplify right side
    132,928.88x = 41,747,071,041
  5. Step 5: Solve for x
    x = 41,747,071,041/132,928.88
  6. Step 6: Final answer
    x = 314,055.70

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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.