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Finding the Third Proportional to 137,316.50 and 207,910.50

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Solution

The third proportional to 137,316.50 and 207,910.50 is: 314,796.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,316.50 : 207,910.50 = 207,910.50 : x
  2. Step 2: Convert to fraction form
    137,316.50/207,910.50 = 207,910.50/x
  3. Step 3: Cross multiply
    137,316.50x = 207,910.50 × 207,910.50
  4. Step 4: Simplify right side
    137,316.50x = 43,226,776,010.25
  5. Step 5: Solve for x
    x = 43,226,776,010.25/137,316.50
  6. Step 6: Final answer
    x = 314,796.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.