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Finding the Third Proportional to 155,530.50 and 224,803.50

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Solution

The third proportional to 155,530.50 and 224,803.50 is: 324,930.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,530.50 : 224,803.50 = 224,803.50 : x
  2. Step 2: Convert to fraction form
    155,530.50/224,803.50 = 224,803.50/x
  3. Step 3: Cross multiply
    155,530.50x = 224,803.50 × 224,803.50
  4. Step 4: Simplify right side
    155,530.50x = 50,536,613,612.25
  5. Step 5: Solve for x
    x = 50,536,613,612.25/155,530.50
  6. Step 6: Final answer
    x = 324,930.57

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.