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Finding the Third Proportional to 162,004 and 228,037

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Solution

The third proportional to 162,004 and 228,037 is: 320,985.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,004 : 228,037 = 228,037 : x
  2. Step 2: Convert to fraction form
    162,004/228,037 = 228,037/x
  3. Step 3: Cross multiply
    162,004x = 228,037 × 228,037
  4. Step 4: Simplify right side
    162,004x = 52,000,873,369
  5. Step 5: Solve for x
    x = 52,000,873,369/162,004
  6. Step 6: Final answer
    x = 320,985.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.