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Finding the Third Proportional to 202,026 and 299,133

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Solution

The third proportional to 202,026 and 299,133 is: 442,916.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,026 : 299,133 = 299,133 : x
  2. Step 2: Convert to fraction form
    202,026/299,133 = 299,133/x
  3. Step 3: Cross multiply
    202,026x = 299,133 × 299,133
  4. Step 4: Simplify right side
    202,026x = 89,480,551,689
  5. Step 5: Solve for x
    x = 89,480,551,689/202,026
  6. Step 6: Final answer
    x = 442,916.02

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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.