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Finding the Third Proportional to 117,708.75 and 257,287.50

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Solution

The third proportional to 117,708.75 and 257,287.50 is: 562,378.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,708.75 : 257,287.50 = 257,287.50 : x
  2. Step 2: Convert to fraction form
    117,708.75/257,287.50 = 257,287.50/x
  3. Step 3: Cross multiply
    117,708.75x = 257,287.50 × 257,287.50
  4. Step 4: Simplify right side
    117,708.75x = 66,196,857,656.25
  5. Step 5: Solve for x
    x = 66,196,857,656.25/117,708.75
  6. Step 6: Final answer
    x = 562,378.39

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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.