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Finding the Third Proportional to 145,144 and 224,277

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Solution

The third proportional to 145,144 and 224,277 is: 346,553.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,144 : 224,277 = 224,277 : x
  2. Step 2: Convert to fraction form
    145,144/224,277 = 224,277/x
  3. Step 3: Cross multiply
    145,144x = 224,277 × 224,277
  4. Step 4: Simplify right side
    145,144x = 50,300,172,729
  5. Step 5: Solve for x
    x = 50,300,172,729/145,144
  6. Step 6: Final answer
    x = 346,553.58

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1.5x scale

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.