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Finding the Third Proportional to 95,508 and 224,658

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Solution

The third proportional to 95,508 and 224,658 is: 528,450.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,508 : 224,658 = 224,658 : x
  2. Step 2: Convert to fraction form
    95,508/224,658 = 224,658/x
  3. Step 3: Cross multiply
    95,508x = 224,658 × 224,658
  4. Step 4: Simplify right side
    95,508x = 50,471,216,964
  5. Step 5: Solve for x
    x = 50,471,216,964/95,508
  6. Step 6: Final answer
    x = 528,450.15

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.