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Finding the Third Proportional to 136,465.75 and 296,241.50

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Solution

The third proportional to 136,465.75 and 296,241.50 is: 643,084.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,465.75 : 296,241.50 = 296,241.50 : x
  2. Step 2: Convert to fraction form
    136,465.75/296,241.50 = 296,241.50/x
  3. Step 3: Cross multiply
    136,465.75x = 296,241.50 × 296,241.50
  4. Step 4: Simplify right side
    136,465.75x = 87,759,026,322.25
  5. Step 5: Solve for x
    x = 87,759,026,322.25/136,465.75
  6. Step 6: Final answer
    x = 643,084.63

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.