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Finding the Third Proportional to 243,141.75 and 390,660.75

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Solution

The third proportional to 243,141.75 and 390,660.75 is: 627,682.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,141.75 : 390,660.75 = 390,660.75 : x
  2. Step 2: Convert to fraction form
    243,141.75/390,660.75 = 390,660.75/x
  3. Step 3: Cross multiply
    243,141.75x = 390,660.75 × 390,660.75
  4. Step 4: Simplify right side
    243,141.75x = 152,615,821,590.56
  5. Step 5: Solve for x
    x = 152,615,821,590.56/243,141.75
  6. Step 6: Final answer
    x = 627,682.50

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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.