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Finding the Third Proportional to 156,046 and 228,511

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Solution

The third proportional to 156,046 and 228,511 is: 334,627.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,046 : 228,511 = 228,511 : x
  2. Step 2: Convert to fraction form
    156,046/228,511 = 228,511/x
  3. Step 3: Cross multiply
    156,046x = 228,511 × 228,511
  4. Step 4: Simplify right side
    156,046x = 52,217,277,121
  5. Step 5: Solve for x
    x = 52,217,277,121/156,046
  6. Step 6: Final answer
    x = 334,627.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.