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Finding the Third Proportional to 254,169 and 543,239

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Solution

The third proportional to 254,169 and 543,239 is: 1,161,072.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,169 : 543,239 = 543,239 : x
  2. Step 2: Convert to fraction form
    254,169/543,239 = 543,239/x
  3. Step 3: Cross multiply
    254,169x = 543,239 × 543,239
  4. Step 4: Simplify right side
    254,169x = 295,108,611,121
  5. Step 5: Solve for x
    x = 295,108,611,121/254,169
  6. Step 6: Final answer
    x = 1,161,072.40

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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.