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Finding the Third Proportional to 117,606 and 257,262

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Solution

The third proportional to 117,606 and 257,262 is: 562,758.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,606 : 257,262 = 257,262 : x
  2. Step 2: Convert to fraction form
    117,606/257,262 = 257,262/x
  3. Step 3: Cross multiply
    117,606x = 257,262 × 257,262
  4. Step 4: Simplify right side
    117,606x = 66,183,736,644
  5. Step 5: Solve for x
    x = 66,183,736,644/117,606
  6. Step 6: Final answer
    x = 562,758.16

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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.