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Finding the Third Proportional to 220,317.75 and 297,261

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Solution

The third proportional to 220,317.75 and 297,261 is: 401,075.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,317.75 : 297,261 = 297,261 : x
  2. Step 2: Convert to fraction form
    220,317.75/297,261 = 297,261/x
  3. Step 3: Cross multiply
    220,317.75x = 297,261 × 297,261
  4. Step 4: Simplify right side
    220,317.75x = 88,364,102,121
  5. Step 5: Solve for x
    x = 88,364,102,121/220,317.75
  6. Step 6: Final answer
    x = 401,075.73

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.