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Finding the Third Proportional to 155,401.50 and 219,349.50

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Solution

The third proportional to 155,401.50 and 219,349.50 is: 309,612.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,401.50 : 219,349.50 = 219,349.50 : x
  2. Step 2: Convert to fraction form
    155,401.50/219,349.50 = 219,349.50/x
  3. Step 3: Cross multiply
    155,401.50x = 219,349.50 × 219,349.50
  4. Step 4: Simplify right side
    155,401.50x = 48,114,203,150.25
  5. Step 5: Solve for x
    x = 48,114,203,150.25/155,401.50
  6. Step 6: Final answer
    x = 309,612.22

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.