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Finding the Third Proportional to 170,802.84 and 365,256.84

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Solution

The third proportional to 170,802.84 and 365,256.84 is: 781,090.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,802.84 : 365,256.84 = 365,256.84 : x
  2. Step 2: Convert to fraction form
    170,802.84/365,256.84 = 365,256.84/x
  3. Step 3: Cross multiply
    170,802.84x = 365,256.84 × 365,256.84
  4. Step 4: Simplify right side
    170,802.84x = 133,412,561,906.21
  5. Step 5: Solve for x
    x = 133,412,561,906.21/170,802.84
  6. Step 6: Final answer
    x = 781,090.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.