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Finding the Third Proportional to 82,783.13 and 178,795.13

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Solution

The third proportional to 82,783.13 and 178,795.13 is: 386,162.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,783.13 : 178,795.13 = 178,795.13 : x
  2. Step 2: Convert to fraction form
    82,783.13/178,795.13 = 178,795.13/x
  3. Step 3: Cross multiply
    82,783.13x = 178,795.13 × 178,795.13
  4. Step 4: Simplify right side
    82,783.13x = 31,967,696,723.77
  5. Step 5: Solve for x
    x = 31,967,696,723.77/82,783.13
  6. Step 6: Final answer
    x = 386,162.00

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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.