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Finding the Third Proportional to 145,318 and 224,558

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Solution

The third proportional to 145,318 and 224,558 is: 347,006.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,318 : 224,558 = 224,558 : x
  2. Step 2: Convert to fraction form
    145,318/224,558 = 224,558/x
  3. Step 3: Cross multiply
    145,318x = 224,558 × 224,558
  4. Step 4: Simplify right side
    145,318x = 50,426,295,364
  5. Step 5: Solve for x
    x = 50,426,295,364/145,318
  6. Step 6: Final answer
    x = 347,006.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.