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Finding the Third Proportional to 155,427.50 and 247,154

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Solution

The third proportional to 155,427.50 and 247,154 is: 393,013.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,427.50 : 247,154 = 247,154 : x
  2. Step 2: Convert to fraction form
    155,427.50/247,154 = 247,154/x
  3. Step 3: Cross multiply
    155,427.50x = 247,154 × 247,154
  4. Step 4: Simplify right side
    155,427.50x = 61,085,099,716
  5. Step 5: Solve for x
    x = 61,085,099,716/155,427.50
  6. Step 6: Final answer
    x = 393,013.46

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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.