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Finding the Third Proportional to 170,680.50 and 371,457.75

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Solution

The third proportional to 170,680.50 and 371,457.75 is: 808,416.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,680.50 : 371,457.75 = 371,457.75 : x
  2. Step 2: Convert to fraction form
    170,680.50/371,457.75 = 371,457.75/x
  3. Step 3: Cross multiply
    170,680.50x = 371,457.75 × 371,457.75
  4. Step 4: Simplify right side
    170,680.50x = 137,980,860,035.06
  5. Step 5: Solve for x
    x = 137,980,860,035.06/170,680.50
  6. Step 6: Final answer
    x = 808,416.08

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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.