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Finding the Third Proportional to 180,569.25 and 286,173

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Solution

The third proportional to 180,569.25 and 286,173 is: 453,537.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,569.25 : 286,173 = 286,173 : x
  2. Step 2: Convert to fraction form
    180,569.25/286,173 = 286,173/x
  3. Step 3: Cross multiply
    180,569.25x = 286,173 × 286,173
  4. Step 4: Simplify right side
    180,569.25x = 81,894,985,929
  5. Step 5: Solve for x
    x = 81,894,985,929/180,569.25
  6. Step 6: Final answer
    x = 453,537.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.