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Finding the Third Proportional to 164,712 and 343,722

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Solution

The third proportional to 164,712 and 343,722 is: 717,281.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,712 : 343,722 = 343,722 : x
  2. Step 2: Convert to fraction form
    164,712/343,722 = 343,722/x
  3. Step 3: Cross multiply
    164,712x = 343,722 × 343,722
  4. Step 4: Simplify right side
    164,712x = 118,144,813,284
  5. Step 5: Solve for x
    x = 118,144,813,284/164,712
  6. Step 6: Final answer
    x = 717,281.15

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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.