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Finding the Third Proportional to 156,034 and 228,497

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Solution

The third proportional to 156,034 and 228,497 is: 334,612.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,034 : 228,497 = 228,497 : x
  2. Step 2: Convert to fraction form
    156,034/228,497 = 228,497/x
  3. Step 3: Cross multiply
    156,034x = 228,497 × 228,497
  4. Step 4: Simplify right side
    156,034x = 52,210,879,009
  5. Step 5: Solve for x
    x = 52,210,879,009/156,034
  6. Step 6: Final answer
    x = 334,612.19

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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.