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Finding the Third Proportional to 156,742 and 228,541

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Solution

The third proportional to 156,742 and 228,541 is: 333,229.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,742 : 228,541 = 228,541 : x
  2. Step 2: Convert to fraction form
    156,742/228,541 = 228,541/x
  3. Step 3: Cross multiply
    156,742x = 228,541 × 228,541
  4. Step 4: Simplify right side
    156,742x = 52,230,988,681
  5. Step 5: Solve for x
    x = 52,230,988,681/156,742
  6. Step 6: Final answer
    x = 333,229.06

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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.