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Finding the Third Proportional to 128,265.75 and 296,907.75

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Solution

The third proportional to 128,265.75 and 296,907.75 is: 687,277.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,265.75 : 296,907.75 = 296,907.75 : x
  2. Step 2: Convert to fraction form
    128,265.75/296,907.75 = 296,907.75/x
  3. Step 3: Cross multiply
    128,265.75x = 296,907.75 × 296,907.75
  4. Step 4: Simplify right side
    128,265.75x = 88,154,212,010.06
  5. Step 5: Solve for x
    x = 88,154,212,010.06/128,265.75
  6. Step 6: Final answer
    x = 687,277.87

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.