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Finding the Third Proportional to 156,722.63 and 228,514.50

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Solution

The third proportional to 156,722.63 and 228,514.50 is: 333,192.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,722.63 : 228,514.50 = 228,514.50 : x
  2. Step 2: Convert to fraction form
    156,722.63/228,514.50 = 228,514.50/x
  3. Step 3: Cross multiply
    156,722.63x = 228,514.50 × 228,514.50
  4. Step 4: Simplify right side
    156,722.63x = 52,218,876,710.25
  5. Step 5: Solve for x
    x = 52,218,876,710.25/156,722.63
  6. Step 6: Final answer
    x = 333,192.97

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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.