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Finding the Third Proportional to 241,909.03 and 338,428.13

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Solution

The third proportional to 241,909.03 and 338,428.13 is: 473,457.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,909.03 : 338,428.13 = 338,428.13 : x
  2. Step 2: Convert to fraction form
    241,909.03/338,428.13 = 338,428.13/x
  3. Step 3: Cross multiply
    241,909.03x = 338,428.13 × 338,428.13
  4. Step 4: Simplify right side
    241,909.03x = 114,533,595,791.02
  5. Step 5: Solve for x
    x = 114,533,595,791.02/241,909.03
  6. Step 6: Final answer
    x = 473,457.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.