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Finding the Third Proportional to 136,536 and 282,544

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Solution

The third proportional to 136,536 and 282,544 is: 584,689.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,536 : 282,544 = 282,544 : x
  2. Step 2: Convert to fraction form
    136,536/282,544 = 282,544/x
  3. Step 3: Cross multiply
    136,536x = 282,544 × 282,544
  4. Step 4: Simplify right side
    136,536x = 79,831,111,936
  5. Step 5: Solve for x
    x = 79,831,111,936/136,536
  6. Step 6: Final answer
    x = 584,689.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.