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Finding the Third Proportional to 202,426 and 302,523

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Solution

The third proportional to 202,426 and 302,523 is: 452,116.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,426 : 302,523 = 302,523 : x
  2. Step 2: Convert to fraction form
    202,426/302,523 = 302,523/x
  3. Step 3: Cross multiply
    202,426x = 302,523 × 302,523
  4. Step 4: Simplify right side
    202,426x = 91,520,165,529
  5. Step 5: Solve for x
    x = 91,520,165,529/202,426
  6. Step 6: Final answer
    x = 452,116.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.