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Finding the Third Proportional to 124,647 and 270,324

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Solution

The third proportional to 124,647 and 270,324 is: 586,256.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,647 : 270,324 = 270,324 : x
  2. Step 2: Convert to fraction form
    124,647/270,324 = 270,324/x
  3. Step 3: Cross multiply
    124,647x = 270,324 × 270,324
  4. Step 4: Simplify right side
    124,647x = 73,075,064,976
  5. Step 5: Solve for x
    x = 73,075,064,976/124,647
  6. Step 6: Final answer
    x = 586,256.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.