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Finding the Third Proportional to 116,643 and 255,453

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Solution

The third proportional to 116,643 and 255,453 is: 559,452.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,643 : 255,453 = 255,453 : x
  2. Step 2: Convert to fraction form
    116,643/255,453 = 255,453/x
  3. Step 3: Cross multiply
    116,643x = 255,453 × 255,453
  4. Step 4: Simplify right side
    116,643x = 65,256,235,209
  5. Step 5: Solve for x
    x = 65,256,235,209/116,643
  6. Step 6: Final answer
    x = 559,452.65

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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.