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Finding the Third Proportional to 117,116 and 260,433

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Solution

The third proportional to 117,116 and 260,433 is: 579,129.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,116 : 260,433 = 260,433 : x
  2. Step 2: Convert to fraction form
    117,116/260,433 = 260,433/x
  3. Step 3: Cross multiply
    117,116x = 260,433 × 260,433
  4. Step 4: Simplify right side
    117,116x = 67,825,347,489
  5. Step 5: Solve for x
    x = 67,825,347,489/117,116
  6. Step 6: Final answer
    x = 579,129.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.