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Finding the Third Proportional to 147,048 and 322,102

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Solution

The third proportional to 147,048 and 322,102 is: 705,549.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,048 : 322,102 = 322,102 : x
  2. Step 2: Convert to fraction form
    147,048/322,102 = 322,102/x
  3. Step 3: Cross multiply
    147,048x = 322,102 × 322,102
  4. Step 4: Simplify right side
    147,048x = 103,749,698,404
  5. Step 5: Solve for x
    x = 103,749,698,404/147,048
  6. Step 6: Final answer
    x = 705,549.88

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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.