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Finding the Third Proportional to 152,004 and 228,088

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Solution

The third proportional to 152,004 and 228,088 is: 342,255.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,004 : 228,088 = 228,088 : x
  2. Step 2: Convert to fraction form
    152,004/228,088 = 228,088/x
  3. Step 3: Cross multiply
    152,004x = 228,088 × 228,088
  4. Step 4: Simplify right side
    152,004x = 52,024,135,744
  5. Step 5: Solve for x
    x = 52,024,135,744/152,004
  6. Step 6: Final answer
    x = 342,255.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.