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Finding the Third Proportional to 155,330 and 333,316

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Solution

The third proportional to 155,330 and 333,316 is: 715,248.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,330 : 333,316 = 333,316 : x
  2. Step 2: Convert to fraction form
    155,330/333,316 = 333,316/x
  3. Step 3: Cross multiply
    155,330x = 333,316 × 333,316
  4. Step 4: Simplify right side
    155,330x = 111,099,555,856
  5. Step 5: Solve for x
    x = 111,099,555,856/155,330
  6. Step 6: Final answer
    x = 715,248.54

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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.