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Finding the Third Proportional to 144,003 and 314,211

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Solution

The third proportional to 144,003 and 314,211 is: 685,600.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,003 : 314,211 = 314,211 : x
  2. Step 2: Convert to fraction form
    144,003/314,211 = 314,211/x
  3. Step 3: Cross multiply
    144,003x = 314,211 × 314,211
  4. Step 4: Simplify right side
    144,003x = 98,728,552,521
  5. Step 5: Solve for x
    x = 98,728,552,521/144,003
  6. Step 6: Final answer
    x = 685,600.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.