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Finding the Third Proportional to 144,804 and 212,030

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Solution

The third proportional to 144,804 and 212,030 is: 310,466.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,804 : 212,030 = 212,030 : x
  2. Step 2: Convert to fraction form
    144,804/212,030 = 212,030/x
  3. Step 3: Cross multiply
    144,804x = 212,030 × 212,030
  4. Step 4: Simplify right side
    144,804x = 44,956,720,900
  5. Step 5: Solve for x
    x = 44,956,720,900/144,804
  6. Step 6: Final answer
    x = 310,466.02

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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.