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Finding the Third Proportional to 117,395.16 and 253,549.41

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Solution

The third proportional to 117,395.16 and 253,549.41 is: 547,614.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,395.16 : 253,549.41 = 253,549.41 : x
  2. Step 2: Convert to fraction form
    117,395.16/253,549.41 = 253,549.41/x
  3. Step 3: Cross multiply
    117,395.16x = 253,549.41 × 253,549.41
  4. Step 4: Simplify right side
    117,395.16x = 64,287,301,409.73
  5. Step 5: Solve for x
    x = 64,287,301,409.73/117,395.16
  6. Step 6: Final answer
    x = 547,614.60

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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.