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Finding the Third Proportional to 156,028 and 228,488

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Solution

The third proportional to 156,028 and 228,488 is: 334,598.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,028 : 228,488 = 228,488 : x
  2. Step 2: Convert to fraction form
    156,028/228,488 = 228,488/x
  3. Step 3: Cross multiply
    156,028x = 228,488 × 228,488
  4. Step 4: Simplify right side
    156,028x = 52,206,766,144
  5. Step 5: Solve for x
    x = 52,206,766,144/156,028
  6. Step 6: Final answer
    x = 334,598.70

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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.