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Finding the Third Proportional to 155,594 and 333,328

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Solution

The third proportional to 155,594 and 333,328 is: 714,086.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,594 : 333,328 = 333,328 : x
  2. Step 2: Convert to fraction form
    155,594/333,328 = 333,328/x
  3. Step 3: Cross multiply
    155,594x = 333,328 × 333,328
  4. Step 4: Simplify right side
    155,594x = 111,107,555,584
  5. Step 5: Solve for x
    x = 111,107,555,584/155,594
  6. Step 6: Final answer
    x = 714,086.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.