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Finding the Third Proportional to 136,476 and 210,546

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Solution

The third proportional to 136,476 and 210,546 is: 324,816.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,476 : 210,546 = 210,546 : x
  2. Step 2: Convert to fraction form
    136,476/210,546 = 210,546/x
  3. Step 3: Cross multiply
    136,476x = 210,546 × 210,546
  4. Step 4: Simplify right side
    136,476x = 44,329,618,116
  5. Step 5: Solve for x
    x = 44,329,618,116/136,476
  6. Step 6: Final answer
    x = 324,816.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.