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Finding the Third Proportional to 117,358.88 and 253,427.06

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Solution

The third proportional to 117,358.88 and 253,427.06 is: 547,255.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,358.88 : 253,427.06 = 253,427.06 : x
  2. Step 2: Convert to fraction form
    117,358.88/253,427.06 = 253,427.06/x
  3. Step 3: Cross multiply
    117,358.88x = 253,427.06 × 253,427.06
  4. Step 4: Simplify right side
    117,358.88x = 64,225,276,007.38
  5. Step 5: Solve for x
    x = 64,225,276,007.38/117,358.88
  6. Step 6: Final answer
    x = 547,255.38

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