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Finding the Third Proportional to 110,705.63 and 176,240.25

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Solution

The third proportional to 110,705.63 and 176,240.25 is: 280,569.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,705.63 : 176,240.25 = 176,240.25 : x
  2. Step 2: Convert to fraction form
    110,705.63/176,240.25 = 176,240.25/x
  3. Step 3: Cross multiply
    110,705.63x = 176,240.25 × 176,240.25
  4. Step 4: Simplify right side
    110,705.63x = 31,060,625,720.06
  5. Step 5: Solve for x
    x = 31,060,625,720.06/110,705.63
  6. Step 6: Final answer
    x = 280,569.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.