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Finding the Third Proportional to 155,509.50 and 233,856

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Solution

The third proportional to 155,509.50 and 233,856 is: 351,673.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,509.50 : 233,856 = 233,856 : x
  2. Step 2: Convert to fraction form
    155,509.50/233,856 = 233,856/x
  3. Step 3: Cross multiply
    155,509.50x = 233,856 × 233,856
  4. Step 4: Simplify right side
    155,509.50x = 54,688,628,736
  5. Step 5: Solve for x
    x = 54,688,628,736/155,509.50
  6. Step 6: Final answer
    x = 351,673.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.