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Finding the Third Proportional to 175,265.44 and 286,166.25

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Solution

The third proportional to 175,265.44 and 286,166.25 is: 467,240.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,265.44 : 286,166.25 = 286,166.25 : x
  2. Step 2: Convert to fraction form
    175,265.44/286,166.25 = 286,166.25/x
  3. Step 3: Cross multiply
    175,265.44x = 286,166.25 × 286,166.25
  4. Step 4: Simplify right side
    175,265.44x = 81,891,122,639.06
  5. Step 5: Solve for x
    x = 81,891,122,639.06/175,265.44
  6. Step 6: Final answer
    x = 467,240.57

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.