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Finding the Third Proportional to 243,231.75 and 390,813.75

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Solution

The third proportional to 243,231.75 and 390,813.75 is: 627,941.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,231.75 : 390,813.75 = 390,813.75 : x
  2. Step 2: Convert to fraction form
    243,231.75/390,813.75 = 390,813.75/x
  3. Step 3: Cross multiply
    243,231.75x = 390,813.75 × 390,813.75
  4. Step 4: Simplify right side
    243,231.75x = 152,735,387,189.06
  5. Step 5: Solve for x
    x = 152,735,387,189.06/243,231.75
  6. Step 6: Final answer
    x = 627,941.82

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.