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Finding the Third Proportional to 136,393 and 291,735

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Solution

The third proportional to 136,393 and 291,735 is: 624,000.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,393 : 291,735 = 291,735 : x
  2. Step 2: Convert to fraction form
    136,393/291,735 = 291,735/x
  3. Step 3: Cross multiply
    136,393x = 291,735 × 291,735
  4. Step 4: Simplify right side
    136,393x = 85,109,310,225
  5. Step 5: Solve for x
    x = 85,109,310,225/136,393
  6. Step 6: Final answer
    x = 624,000.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.