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Finding the Third Proportional to 117,534 and 253,768

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Solution

The third proportional to 117,534 and 253,768 is: 547,911.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,534 : 253,768 = 253,768 : x
  2. Step 2: Convert to fraction form
    117,534/253,768 = 253,768/x
  3. Step 3: Cross multiply
    117,534x = 253,768 × 253,768
  4. Step 4: Simplify right side
    117,534x = 64,398,197,824
  5. Step 5: Solve for x
    x = 64,398,197,824/117,534
  6. Step 6: Final answer
    x = 547,911.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.