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Finding the Third Proportional to 164,706 and 343,710

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Solution

The third proportional to 164,706 and 343,710 is: 717,257.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,706 : 343,710 = 343,710 : x
  2. Step 2: Convert to fraction form
    164,706/343,710 = 343,710/x
  3. Step 3: Cross multiply
    164,706x = 343,710 × 343,710
  4. Step 4: Simplify right side
    164,706x = 118,136,564,100
  5. Step 5: Solve for x
    x = 118,136,564,100/164,706
  6. Step 6: Final answer
    x = 717,257.20

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.