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Finding the Third Proportional to 156,747 and 228,559

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Solution

The third proportional to 156,747 and 228,559 is: 333,270.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,747 : 228,559 = 228,559 : x
  2. Step 2: Convert to fraction form
    156,747/228,559 = 228,559/x
  3. Step 3: Cross multiply
    156,747x = 228,559 × 228,559
  4. Step 4: Simplify right side
    156,747x = 52,239,216,481
  5. Step 5: Solve for x
    x = 52,239,216,481/156,747
  6. Step 6: Final answer
    x = 333,270.92

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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.