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Finding the Third Proportional to 159,003 and 348,021

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Solution

The third proportional to 159,003 and 348,021 is: 761,737.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,003 : 348,021 = 348,021 : x
  2. Step 2: Convert to fraction form
    159,003/348,021 = 348,021/x
  3. Step 3: Cross multiply
    159,003x = 348,021 × 348,021
  4. Step 4: Simplify right side
    159,003x = 121,118,616,441
  5. Step 5: Solve for x
    x = 121,118,616,441/159,003
  6. Step 6: Final answer
    x = 761,737.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.