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Finding the Third Proportional to 144,972 and 299,886

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Solution

The third proportional to 144,972 and 299,886 is: 620,337.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,972 : 299,886 = 299,886 : x
  2. Step 2: Convert to fraction form
    144,972/299,886 = 299,886/x
  3. Step 3: Cross multiply
    144,972x = 299,886 × 299,886
  4. Step 4: Simplify right side
    144,972x = 89,931,612,996
  5. Step 5: Solve for x
    x = 89,931,612,996/144,972
  6. Step 6: Final answer
    x = 620,337.81

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.