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Finding the Third Proportional to 117,729.75 and 257,465.25

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Solution

The third proportional to 117,729.75 and 257,465.25 is: 563,055.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,729.75 : 257,465.25 = 257,465.25 : x
  2. Step 2: Convert to fraction form
    117,729.75/257,465.25 = 257,465.25/x
  3. Step 3: Cross multiply
    117,729.75x = 257,465.25 × 257,465.25
  4. Step 4: Simplify right side
    117,729.75x = 66,288,354,957.56
  5. Step 5: Solve for x
    x = 66,288,354,957.56/117,729.75
  6. Step 6: Final answer
    x = 563,055.26

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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.