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Finding the Third Proportional to 169,710 and 335,136

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Solution

The third proportional to 169,710 and 335,136 is: 661,812.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,710 : 335,136 = 335,136 : x
  2. Step 2: Convert to fraction form
    169,710/335,136 = 335,136/x
  3. Step 3: Cross multiply
    169,710x = 335,136 × 335,136
  4. Step 4: Simplify right side
    169,710x = 112,316,138,496
  5. Step 5: Solve for x
    x = 112,316,138,496/169,710
  6. Step 6: Final answer
    x = 661,812.14

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.