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Finding the Third Proportional to 202,322 and 302,095

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Solution

The third proportional to 202,322 and 302,095 is: 451,070.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,322 : 302,095 = 302,095 : x
  2. Step 2: Convert to fraction form
    202,322/302,095 = 302,095/x
  3. Step 3: Cross multiply
    202,322x = 302,095 × 302,095
  4. Step 4: Simplify right side
    202,322x = 91,261,389,025
  5. Step 5: Solve for x
    x = 91,261,389,025/202,322
  6. Step 6: Final answer
    x = 451,070.02

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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.