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Finding the Third Proportional to 155,400.75 and 343,471.50

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Solution

The third proportional to 155,400.75 and 343,471.50 is: 759,151.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,400.75 : 343,471.50 = 343,471.50 : x
  2. Step 2: Convert to fraction form
    155,400.75/343,471.50 = 343,471.50/x
  3. Step 3: Cross multiply
    155,400.75x = 343,471.50 × 343,471.50
  4. Step 4: Simplify right side
    155,400.75x = 117,972,671,312.25
  5. Step 5: Solve for x
    x = 117,972,671,312.25/155,400.75
  6. Step 6: Final answer
    x = 759,151.24

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.