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Finding the Third Proportional to 175,084 and 253,330

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Solution

The third proportional to 175,084 and 253,330 is: 366,544.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,084 : 253,330 = 253,330 : x
  2. Step 2: Convert to fraction form
    175,084/253,330 = 253,330/x
  3. Step 3: Cross multiply
    175,084x = 253,330 × 253,330
  4. Step 4: Simplify right side
    175,084x = 64,176,088,900
  5. Step 5: Solve for x
    x = 64,176,088,900/175,084
  6. Step 6: Final answer
    x = 366,544.57

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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.