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Finding the Third Proportional to 144,756 and 224,118

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Solution

The third proportional to 144,756 and 224,118 is: 346,989.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,756 : 224,118 = 224,118 : x
  2. Step 2: Convert to fraction form
    144,756/224,118 = 224,118/x
  3. Step 3: Cross multiply
    144,756x = 224,118 × 224,118
  4. Step 4: Simplify right side
    144,756x = 50,228,877,924
  5. Step 5: Solve for x
    x = 50,228,877,924/144,756
  6. Step 6: Final answer
    x = 346,989.95

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