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Finding the Third Proportional to 118,820 and 264,206

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Solution

The third proportional to 118,820 and 264,206 is: 587,483.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,820 : 264,206 = 264,206 : x
  2. Step 2: Convert to fraction form
    118,820/264,206 = 264,206/x
  3. Step 3: Cross multiply
    118,820x = 264,206 × 264,206
  4. Step 4: Simplify right side
    118,820x = 69,804,810,436
  5. Step 5: Solve for x
    x = 69,804,810,436/118,820
  6. Step 6: Final answer
    x = 587,483.68

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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.