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Finding the Third Proportional to 117,964 and 256,663

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Solution

The third proportional to 117,964 and 256,663 is: 558,440.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,964 : 256,663 = 256,663 : x
  2. Step 2: Convert to fraction form
    117,964/256,663 = 256,663/x
  3. Step 3: Cross multiply
    117,964x = 256,663 × 256,663
  4. Step 4: Simplify right side
    117,964x = 65,875,895,569
  5. Step 5: Solve for x
    x = 65,875,895,569/117,964
  6. Step 6: Final answer
    x = 558,440.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.