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Finding the Third Proportional to 117,777 and 257,555.75

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Solution

The third proportional to 117,777 and 257,555.75 is: 563,225.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,777 : 257,555.75 = 257,555.75 : x
  2. Step 2: Convert to fraction form
    117,777/257,555.75 = 257,555.75/x
  3. Step 3: Cross multiply
    117,777x = 257,555.75 × 257,555.75
  4. Step 4: Simplify right side
    117,777x = 66,334,964,358.06
  5. Step 5: Solve for x
    x = 66,334,964,358.06/117,777
  6. Step 6: Final answer
    x = 563,225.11

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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.