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Finding the Third Proportional to 152,370 and 323,168

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Solution

The third proportional to 152,370 and 323,168 is: 685,420.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,370 : 323,168 = 323,168 : x
  2. Step 2: Convert to fraction form
    152,370/323,168 = 323,168/x
  3. Step 3: Cross multiply
    152,370x = 323,168 × 323,168
  4. Step 4: Simplify right side
    152,370x = 104,437,556,224
  5. Step 5: Solve for x
    x = 104,437,556,224/152,370
  6. Step 6: Final answer
    x = 685,420.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.