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Finding the Third Proportional to 137,511 and 283,587.75

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Solution

The third proportional to 137,511 and 283,587.75 is: 584,840.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,511 : 283,587.75 = 283,587.75 : x
  2. Step 2: Convert to fraction form
    137,511/283,587.75 = 283,587.75/x
  3. Step 3: Cross multiply
    137,511x = 283,587.75 × 283,587.75
  4. Step 4: Simplify right side
    137,511x = 80,422,011,950.06
  5. Step 5: Solve for x
    x = 80,422,011,950.06/137,511
  6. Step 6: Final answer
    x = 584,840.57

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.