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Finding the Third Proportional to 202,458 and 302,043

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Solution

The third proportional to 202,458 and 302,043 is: 450,611.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,458 : 302,043 = 302,043 : x
  2. Step 2: Convert to fraction form
    202,458/302,043 = 302,043/x
  3. Step 3: Cross multiply
    202,458x = 302,043 × 302,043
  4. Step 4: Simplify right side
    202,458x = 91,229,973,849
  5. Step 5: Solve for x
    x = 91,229,973,849/202,458
  6. Step 6: Final answer
    x = 450,611.85

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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.