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Finding the Third Proportional to 155,870 and 338,308

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Solution

The third proportional to 155,870 and 338,308 is: 734,280.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,870 : 338,308 = 338,308 : x
  2. Step 2: Convert to fraction form
    155,870/338,308 = 338,308/x
  3. Step 3: Cross multiply
    155,870x = 338,308 × 338,308
  4. Step 4: Simplify right side
    155,870x = 114,452,302,864
  5. Step 5: Solve for x
    x = 114,452,302,864/155,870
  6. Step 6: Final answer
    x = 734,280.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.