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Finding the Third Proportional to 175,543 and 264,861

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Solution

The third proportional to 175,543 and 264,861 is: 399,624.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,543 : 264,861 = 264,861 : x
  2. Step 2: Convert to fraction form
    175,543/264,861 = 264,861/x
  3. Step 3: Cross multiply
    175,543x = 264,861 × 264,861
  4. Step 4: Simplify right side
    175,543x = 70,151,349,321
  5. Step 5: Solve for x
    x = 70,151,349,321/175,543
  6. Step 6: Final answer
    x = 399,624.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.