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Finding the Third Proportional to 144,222 and 310,632

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Solution

The third proportional to 144,222 and 310,632 is: 669,053.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,222 : 310,632 = 310,632 : x
  2. Step 2: Convert to fraction form
    144,222/310,632 = 310,632/x
  3. Step 3: Cross multiply
    144,222x = 310,632 × 310,632
  4. Step 4: Simplify right side
    144,222x = 96,492,239,424
  5. Step 5: Solve for x
    x = 96,492,239,424/144,222
  6. Step 6: Final answer
    x = 669,053.54

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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.