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Finding the Third Proportional to 144,800 and 212,024

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Solution

The third proportional to 144,800 and 212,024 is: 310,457.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,800 : 212,024 = 212,024 : x
  2. Step 2: Convert to fraction form
    144,800/212,024 = 212,024/x
  3. Step 3: Cross multiply
    144,800x = 212,024 × 212,024
  4. Step 4: Simplify right side
    144,800x = 44,954,176,576
  5. Step 5: Solve for x
    x = 44,954,176,576/144,800
  6. Step 6: Final answer
    x = 310,457.02

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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.