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Finding the Third Proportional to 196,953 and 295,362

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Solution

The third proportional to 196,953 and 295,362 is: 442,941.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,953 : 295,362 = 295,362 : x
  2. Step 2: Convert to fraction form
    196,953/295,362 = 295,362/x
  3. Step 3: Cross multiply
    196,953x = 295,362 × 295,362
  4. Step 4: Simplify right side
    196,953x = 87,238,711,044
  5. Step 5: Solve for x
    x = 87,238,711,044/196,953
  6. Step 6: Final answer
    x = 442,941.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.