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Finding the Third Proportional to 202,030 and 299,138

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Solution

The third proportional to 202,030 and 299,138 is: 442,922.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,030 : 299,138 = 299,138 : x
  2. Step 2: Convert to fraction form
    202,030/299,138 = 299,138/x
  3. Step 3: Cross multiply
    202,030x = 299,138 × 299,138
  4. Step 4: Simplify right side
    202,030x = 89,483,543,044
  5. Step 5: Solve for x
    x = 89,483,543,044/202,030
  6. Step 6: Final answer
    x = 442,922.06

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.