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Finding the Third Proportional to 116,688 and 256,068

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Solution

The third proportional to 116,688 and 256,068 is: 561,932.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,688 : 256,068 = 256,068 : x
  2. Step 2: Convert to fraction form
    116,688/256,068 = 256,068/x
  3. Step 3: Cross multiply
    116,688x = 256,068 × 256,068
  4. Step 4: Simplify right side
    116,688x = 65,570,820,624
  5. Step 5: Solve for x
    x = 65,570,820,624/116,688
  6. Step 6: Final answer
    x = 561,932.85

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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.