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Finding the Third Proportional to 155,730.75 and 244,663.50

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Solution

The third proportional to 155,730.75 and 244,663.50 is: 384,382.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,730.75 : 244,663.50 = 244,663.50 : x
  2. Step 2: Convert to fraction form
    155,730.75/244,663.50 = 244,663.50/x
  3. Step 3: Cross multiply
    155,730.75x = 244,663.50 × 244,663.50
  4. Step 4: Simplify right side
    155,730.75x = 59,860,228,232.25
  5. Step 5: Solve for x
    x = 59,860,228,232.25/155,730.75
  6. Step 6: Final answer
    x = 384,382.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.