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Finding the Third Proportional to 155,516 and 333,083

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Solution

The third proportional to 155,516 and 333,083 is: 713,394.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,516 : 333,083 = 333,083 : x
  2. Step 2: Convert to fraction form
    155,516/333,083 = 333,083/x
  3. Step 3: Cross multiply
    155,516x = 333,083 × 333,083
  4. Step 4: Simplify right side
    155,516x = 110,944,284,889
  5. Step 5: Solve for x
    x = 110,944,284,889/155,516
  6. Step 6: Final answer
    x = 713,394.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.