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Finding the Third Proportional to 117,733.50 and 257,473.50

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Solution

The third proportional to 117,733.50 and 257,473.50 is: 563,073.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,733.50 : 257,473.50 = 257,473.50 : x
  2. Step 2: Convert to fraction form
    117,733.50/257,473.50 = 257,473.50/x
  3. Step 3: Cross multiply
    117,733.50x = 257,473.50 × 257,473.50
  4. Step 4: Simplify right side
    117,733.50x = 66,292,603,202.25
  5. Step 5: Solve for x
    x = 66,292,603,202.25/117,733.50
  6. Step 6: Final answer
    x = 563,073.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.