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Finding the Third Proportional to 203,212.13 and 301,875.19

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Solution

The third proportional to 203,212.13 and 301,875.19 is: 448,440.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,212.13 : 301,875.19 = 301,875.19 : x
  2. Step 2: Convert to fraction form
    203,212.13/301,875.19 = 301,875.19/x
  3. Step 3: Cross multiply
    203,212.13x = 301,875.19 × 301,875.19
  4. Step 4: Simplify right side
    203,212.13x = 91,128,628,828.16
  5. Step 5: Solve for x
    x = 91,128,628,828.16/203,212.13
  6. Step 6: Final answer
    x = 448,440.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.