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Finding the Third Proportional to 155,417 and 333,486

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Solution

The third proportional to 155,417 and 333,486 is: 715,577.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,417 : 333,486 = 333,486 : x
  2. Step 2: Convert to fraction form
    155,417/333,486 = 333,486/x
  3. Step 3: Cross multiply
    155,417x = 333,486 × 333,486
  4. Step 4: Simplify right side
    155,417x = 111,212,912,196
  5. Step 5: Solve for x
    x = 111,212,912,196/155,417
  6. Step 6: Final answer
    x = 715,577.52

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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.