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Finding the Third Proportional to 159,130 and 347,786

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Solution

The third proportional to 159,130 and 347,786 is: 760,102.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,130 : 347,786 = 347,786 : x
  2. Step 2: Convert to fraction form
    159,130/347,786 = 347,786/x
  3. Step 3: Cross multiply
    159,130x = 347,786 × 347,786
  4. Step 4: Simplify right side
    159,130x = 120,955,101,796
  5. Step 5: Solve for x
    x = 120,955,101,796/159,130
  6. Step 6: Final answer
    x = 760,102.44

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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.