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Finding the Third Proportional to 288,004 and 382,168

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Solution

The third proportional to 288,004 and 382,168 is: 507,119.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,004 : 382,168 = 382,168 : x
  2. Step 2: Convert to fraction form
    288,004/382,168 = 382,168/x
  3. Step 3: Cross multiply
    288,004x = 382,168 × 382,168
  4. Step 4: Simplify right side
    288,004x = 146,052,380,224
  5. Step 5: Solve for x
    x = 146,052,380,224/288,004
  6. Step 6: Final answer
    x = 507,119.28

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.