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Finding the Third Proportional to 153,091.50 and 330,827.25

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Solution

The third proportional to 153,091.50 and 330,827.25 is: 714,910.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,091.50 : 330,827.25 = 330,827.25 : x
  2. Step 2: Convert to fraction form
    153,091.50/330,827.25 = 330,827.25/x
  3. Step 3: Cross multiply
    153,091.50x = 330,827.25 × 330,827.25
  4. Step 4: Simplify right side
    153,091.50x = 109,446,669,342.56
  5. Step 5: Solve for x
    x = 109,446,669,342.56/153,091.50
  6. Step 6: Final answer
    x = 714,910.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.