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Finding the Third Proportional to 155,341 and 336,071

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Solution

The third proportional to 155,341 and 336,071 is: 727,069.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,341 : 336,071 = 336,071 : x
  2. Step 2: Convert to fraction form
    155,341/336,071 = 336,071/x
  3. Step 3: Cross multiply
    155,341x = 336,071 × 336,071
  4. Step 4: Simplify right side
    155,341x = 112,943,717,041
  5. Step 5: Solve for x
    x = 112,943,717,041/155,341
  6. Step 6: Final answer
    x = 727,069.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.