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Finding the Third Proportional to 185,114.25 and 393,585.75

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Solution

The third proportional to 185,114.25 and 393,585.75 is: 836,833.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,114.25 : 393,585.75 = 393,585.75 : x
  2. Step 2: Convert to fraction form
    185,114.25/393,585.75 = 393,585.75/x
  3. Step 3: Cross multiply
    185,114.25x = 393,585.75 × 393,585.75
  4. Step 4: Simplify right side
    185,114.25x = 154,909,742,603.06
  5. Step 5: Solve for x
    x = 154,909,742,603.06/185,114.25
  6. Step 6: Final answer
    x = 836,833.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.