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Finding the Third Proportional to 200,148.75 and 313,345.13

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Solution

The third proportional to 200,148.75 and 313,345.13 is: 490,560.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,148.75 : 313,345.13 = 313,345.13 : x
  2. Step 2: Convert to fraction form
    200,148.75/313,345.13 = 313,345.13/x
  3. Step 3: Cross multiply
    200,148.75x = 313,345.13 × 313,345.13
  4. Step 4: Simplify right side
    200,148.75x = 98,185,167,361.27
  5. Step 5: Solve for x
    x = 98,185,167,361.27/200,148.75
  6. Step 6: Final answer
    x = 490,560.98

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.