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Finding the Third Proportional to 202,006 and 424,950

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Solution

The third proportional to 202,006 and 424,950 is: 893,946.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,006 : 424,950 = 424,950 : x
  2. Step 2: Convert to fraction form
    202,006/424,950 = 424,950/x
  3. Step 3: Cross multiply
    202,006x = 424,950 × 424,950
  4. Step 4: Simplify right side
    202,006x = 180,582,502,500
  5. Step 5: Solve for x
    x = 180,582,502,500/202,006
  6. Step 6: Final answer
    x = 893,946.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.