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Finding the Third Proportional to 230,448 and 309,960

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Solution

The third proportional to 230,448 and 309,960 is: 416,906.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,448 : 309,960 = 309,960 : x
  2. Step 2: Convert to fraction form
    230,448/309,960 = 309,960/x
  3. Step 3: Cross multiply
    230,448x = 309,960 × 309,960
  4. Step 4: Simplify right side
    230,448x = 96,075,201,600
  5. Step 5: Solve for x
    x = 96,075,201,600/230,448
  6. Step 6: Final answer
    x = 416,906.21

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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.