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Finding the Third Proportional to 117,031.50 and 253,381.50

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Solution

The third proportional to 117,031.50 and 253,381.50 is: 548,588.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,031.50 : 253,381.50 = 253,381.50 : x
  2. Step 2: Convert to fraction form
    117,031.50/253,381.50 = 253,381.50/x
  3. Step 3: Cross multiply
    117,031.50x = 253,381.50 × 253,381.50
  4. Step 4: Simplify right side
    117,031.50x = 64,202,184,542.25
  5. Step 5: Solve for x
    x = 64,202,184,542.25/117,031.50
  6. Step 6: Final answer
    x = 548,588.92

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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.