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Finding the Third Proportional to 155,764 and 341,012

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Solution

The third proportional to 155,764 and 341,012 is: 746,572.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,764 : 341,012 = 341,012 : x
  2. Step 2: Convert to fraction form
    155,764/341,012 = 341,012/x
  3. Step 3: Cross multiply
    155,764x = 341,012 × 341,012
  4. Step 4: Simplify right side
    155,764x = 116,289,184,144
  5. Step 5: Solve for x
    x = 116,289,184,144/155,764
  6. Step 6: Final answer
    x = 746,572.92

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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.