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Finding the Third Proportional to 94,322 and 202,141

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Solution

The third proportional to 94,322 and 202,141 is: 433,207.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,322 : 202,141 = 202,141 : x
  2. Step 2: Convert to fraction form
    94,322/202,141 = 202,141/x
  3. Step 3: Cross multiply
    94,322x = 202,141 × 202,141
  4. Step 4: Simplify right side
    94,322x = 40,860,983,881
  5. Step 5: Solve for x
    x = 40,860,983,881/94,322
  6. Step 6: Final answer
    x = 433,207.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.