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Finding the Third Proportional to 225,144 and 342,358

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Solution

The third proportional to 225,144 and 342,358 is: 520,595.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,144 : 342,358 = 342,358 : x
  2. Step 2: Convert to fraction form
    225,144/342,358 = 342,358/x
  3. Step 3: Cross multiply
    225,144x = 342,358 × 342,358
  4. Step 4: Simplify right side
    225,144x = 117,209,000,164
  5. Step 5: Solve for x
    x = 117,209,000,164/225,144
  6. Step 6: Final answer
    x = 520,595.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.