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Finding the Third Proportional to 153,949.75 and 245,154.75

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Solution

The third proportional to 153,949.75 and 245,154.75 is: 390,392.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,949.75 : 245,154.75 = 245,154.75 : x
  2. Step 2: Convert to fraction form
    153,949.75/245,154.75 = 245,154.75/x
  3. Step 3: Cross multiply
    153,949.75x = 245,154.75 × 245,154.75
  4. Step 4: Simplify right side
    153,949.75x = 60,100,851,447.56
  5. Step 5: Solve for x
    x = 60,100,851,447.56/153,949.75
  6. Step 6: Final answer
    x = 390,392.65

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.