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Finding the Third Proportional to 118,964 and 264,172

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Solution

The third proportional to 118,964 and 264,172 is: 586,621.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,964 : 264,172 = 264,172 : x
  2. Step 2: Convert to fraction form
    118,964/264,172 = 264,172/x
  3. Step 3: Cross multiply
    118,964x = 264,172 × 264,172
  4. Step 4: Simplify right side
    118,964x = 69,786,845,584
  5. Step 5: Solve for x
    x = 69,786,845,584/118,964
  6. Step 6: Final answer
    x = 586,621.55

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.