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Finding the Third Proportional to 178,610.81 and 385,265.06

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Solution

The third proportional to 178,610.81 and 385,265.06 is: 831,020.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,610.81 : 385,265.06 = 385,265.06 : x
  2. Step 2: Convert to fraction form
    178,610.81/385,265.06 = 385,265.06/x
  3. Step 3: Cross multiply
    178,610.81x = 385,265.06 × 385,265.06
  4. Step 4: Simplify right side
    178,610.81x = 148,429,168,383.13
  5. Step 5: Solve for x
    x = 148,429,168,383.13/178,610.81
  6. Step 6: Final answer
    x = 831,020.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.