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Finding the Third Proportional to 118,664 and 260,692

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Solution

The third proportional to 118,664 and 260,692 is: 572,712.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,664 : 260,692 = 260,692 : x
  2. Step 2: Convert to fraction form
    118,664/260,692 = 260,692/x
  3. Step 3: Cross multiply
    118,664x = 260,692 × 260,692
  4. Step 4: Simplify right side
    118,664x = 67,960,318,864
  5. Step 5: Solve for x
    x = 67,960,318,864/118,664
  6. Step 6: Final answer
    x = 572,712.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.