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Finding the Third Proportional to 137,836 and 296,790.50

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Solution

The third proportional to 137,836 and 296,790.50 is: 639,053.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,836 : 296,790.50 = 296,790.50 : x
  2. Step 2: Convert to fraction form
    137,836/296,790.50 = 296,790.50/x
  3. Step 3: Cross multiply
    137,836x = 296,790.50 × 296,790.50
  4. Step 4: Simplify right side
    137,836x = 88,084,600,890.25
  5. Step 5: Solve for x
    x = 88,084,600,890.25/137,836
  6. Step 6: Final answer
    x = 639,053.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.