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Finding the Third Proportional to 201,643.88 and 309,515.63

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Solution

The third proportional to 201,643.88 and 309,515.63 is: 475,094.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,643.88 : 309,515.63 = 309,515.63 : x
  2. Step 2: Convert to fraction form
    201,643.88/309,515.63 = 309,515.63/x
  3. Step 3: Cross multiply
    201,643.88x = 309,515.63 × 309,515.63
  4. Step 4: Simplify right side
    201,643.88x = 95,799,922,119.14
  5. Step 5: Solve for x
    x = 95,799,922,119.14/201,643.88
  6. Step 6: Final answer
    x = 475,094.63

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.