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Finding the Third Proportional to 147,813 and 335,083

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Solution

The third proportional to 147,813 and 335,083 is: 759,612.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,813 : 335,083 = 335,083 : x
  2. Step 2: Convert to fraction form
    147,813/335,083 = 335,083/x
  3. Step 3: Cross multiply
    147,813x = 335,083 × 335,083
  4. Step 4: Simplify right side
    147,813x = 112,280,616,889
  5. Step 5: Solve for x
    x = 112,280,616,889/147,813
  6. Step 6: Final answer
    x = 759,612.60

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.