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Finding the Third Proportional to 139,083.50 and 208,531.50

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Solution

The third proportional to 139,083.50 and 208,531.50 is: 312,656.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,083.50 : 208,531.50 = 208,531.50 : x
  2. Step 2: Convert to fraction form
    139,083.50/208,531.50 = 208,531.50/x
  3. Step 3: Cross multiply
    139,083.50x = 208,531.50 × 208,531.50
  4. Step 4: Simplify right side
    139,083.50x = 43,485,386,492.25
  5. Step 5: Solve for x
    x = 43,485,386,492.25/139,083.50
  6. Step 6: Final answer
    x = 312,656.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.