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Finding the Third Proportional to 116,772 and 255,354

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Solution

The third proportional to 116,772 and 255,354 is: 558,401.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,772 : 255,354 = 255,354 : x
  2. Step 2: Convert to fraction form
    116,772/255,354 = 255,354/x
  3. Step 3: Cross multiply
    116,772x = 255,354 × 255,354
  4. Step 4: Simplify right side
    116,772x = 65,205,665,316
  5. Step 5: Solve for x
    x = 65,205,665,316/116,772
  6. Step 6: Final answer
    x = 558,401.55

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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.