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Finding the Third Proportional to 239,643.75 and 375,922.13

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Solution

The third proportional to 239,643.75 and 375,922.13 is: 589,698.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,643.75 : 375,922.13 = 375,922.13 : x
  2. Step 2: Convert to fraction form
    239,643.75/375,922.13 = 375,922.13/x
  3. Step 3: Cross multiply
    239,643.75x = 375,922.13 × 375,922.13
  4. Step 4: Simplify right side
    239,643.75x = 141,317,444,064.52
  5. Step 5: Solve for x
    x = 141,317,444,064.52/239,643.75
  6. Step 6: Final answer
    x = 589,698.02

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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.