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Finding the Third Proportional to 248,160 and 543,264

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Solution

The third proportional to 248,160 and 543,264 is: 1,189,296.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,160 : 543,264 = 543,264 : x
  2. Step 2: Convert to fraction form
    248,160/543,264 = 543,264/x
  3. Step 3: Cross multiply
    248,160x = 543,264 × 543,264
  4. Step 4: Simplify right side
    248,160x = 295,135,773,696
  5. Step 5: Solve for x
    x = 295,135,773,696/248,160
  6. Step 6: Final answer
    x = 1,189,296.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.