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Finding the Third Proportional to 225,851.63 and 309,700.13

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Solution

The third proportional to 225,851.63 and 309,700.13 is: 424,677.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,851.63 : 309,700.13 = 309,700.13 : x
  2. Step 2: Convert to fraction form
    225,851.63/309,700.13 = 309,700.13/x
  3. Step 3: Cross multiply
    225,851.63x = 309,700.13 × 309,700.13
  4. Step 4: Simplify right side
    225,851.63x = 95,914,167,425.02
  5. Step 5: Solve for x
    x = 95,914,167,425.02/225,851.63
  6. Step 6: Final answer
    x = 424,677.78

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.