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Finding the Third Proportional to 144,192 and 308,312

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Solution

The third proportional to 144,192 and 308,312 is: 659,234.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,192 : 308,312 = 308,312 : x
  2. Step 2: Convert to fraction form
    144,192/308,312 = 308,312/x
  3. Step 3: Cross multiply
    144,192x = 308,312 × 308,312
  4. Step 4: Simplify right side
    144,192x = 95,056,289,344
  5. Step 5: Solve for x
    x = 95,056,289,344/144,192
  6. Step 6: Final answer
    x = 659,234.14

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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.