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Finding the Third Proportional to 183,030 and 335,685

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Solution

The third proportional to 183,030 and 335,685 is: 615,660.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,030 : 335,685 = 335,685 : x
  2. Step 2: Convert to fraction form
    183,030/335,685 = 335,685/x
  3. Step 3: Cross multiply
    183,030x = 335,685 × 335,685
  4. Step 4: Simplify right side
    183,030x = 112,684,419,225
  5. Step 5: Solve for x
    x = 112,684,419,225/183,030
  6. Step 6: Final answer
    x = 615,660.93

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.