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Finding the Third Proportional to 117,606 and 256,362

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Solution

The third proportional to 117,606 and 256,362 is: 558,827.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,606 : 256,362 = 256,362 : x
  2. Step 2: Convert to fraction form
    117,606/256,362 = 256,362/x
  3. Step 3: Cross multiply
    117,606x = 256,362 × 256,362
  4. Step 4: Simplify right side
    117,606x = 65,721,475,044
  5. Step 5: Solve for x
    x = 65,721,475,044/117,606
  6. Step 6: Final answer
    x = 558,827.57

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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.