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Finding the Third Proportional to 155,328 and 333,312

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Solution

The third proportional to 155,328 and 333,312 is: 715,240.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,328 : 333,312 = 333,312 : x
  2. Step 2: Convert to fraction form
    155,328/333,312 = 333,312/x
  3. Step 3: Cross multiply
    155,328x = 333,312 × 333,312
  4. Step 4: Simplify right side
    155,328x = 111,096,889,344
  5. Step 5: Solve for x
    x = 111,096,889,344/155,328
  6. Step 6: Final answer
    x = 715,240.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.