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Finding the Third Proportional to 101,734 and 221,688

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Solution

The third proportional to 101,734 and 221,688 is: 483,079.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,734 : 221,688 = 221,688 : x
  2. Step 2: Convert to fraction form
    101,734/221,688 = 221,688/x
  3. Step 3: Cross multiply
    101,734x = 221,688 × 221,688
  4. Step 4: Simplify right side
    101,734x = 49,145,569,344
  5. Step 5: Solve for x
    x = 49,145,569,344/101,734
  6. Step 6: Final answer
    x = 483,079.10

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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.