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Finding the Third Proportional to 147,488 and 228,756

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Solution

The third proportional to 147,488 and 228,756 is: 354,803.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,488 : 228,756 = 228,756 : x
  2. Step 2: Convert to fraction form
    147,488/228,756 = 228,756/x
  3. Step 3: Cross multiply
    147,488x = 228,756 × 228,756
  4. Step 4: Simplify right side
    147,488x = 52,329,307,536
  5. Step 5: Solve for x
    x = 52,329,307,536/147,488
  6. Step 6: Final answer
    x = 354,803.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.