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Finding the Third Proportional to 162,783 and 235,143

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Solution

The third proportional to 162,783 and 235,143 is: 339,668.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,783 : 235,143 = 235,143 : x
  2. Step 2: Convert to fraction form
    162,783/235,143 = 235,143/x
  3. Step 3: Cross multiply
    162,783x = 235,143 × 235,143
  4. Step 4: Simplify right side
    162,783x = 55,292,230,449
  5. Step 5: Solve for x
    x = 55,292,230,449/162,783
  6. Step 6: Final answer
    x = 339,668.33

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.