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Finding the Third Proportional to 170,389.50 and 351,705

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Solution

The third proportional to 170,389.50 and 351,705 is: 725,962.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,389.50 : 351,705 = 351,705 : x
  2. Step 2: Convert to fraction form
    170,389.50/351,705 = 351,705/x
  3. Step 3: Cross multiply
    170,389.50x = 351,705 × 351,705
  4. Step 4: Simplify right side
    170,389.50x = 123,696,407,025
  5. Step 5: Solve for x
    x = 123,696,407,025/170,389.50
  6. Step 6: Final answer
    x = 725,962.62

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.