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Finding the Third Proportional to 136,336.50 and 209,283.75

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Solution

The third proportional to 136,336.50 and 209,283.75 is: 321,261.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,336.50 : 209,283.75 = 209,283.75 : x
  2. Step 2: Convert to fraction form
    136,336.50/209,283.75 = 209,283.75/x
  3. Step 3: Cross multiply
    136,336.50x = 209,283.75 × 209,283.75
  4. Step 4: Simplify right side
    136,336.50x = 43,799,688,014.06
  5. Step 5: Solve for x
    x = 43,799,688,014.06/136,336.50
  6. Step 6: Final answer
    x = 321,261.64

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.