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Finding the Third Proportional to 196,140 and 304,254

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Solution

The third proportional to 196,140 and 304,254 is: 471,961.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,140 : 304,254 = 304,254 : x
  2. Step 2: Convert to fraction form
    196,140/304,254 = 304,254/x
  3. Step 3: Cross multiply
    196,140x = 304,254 × 304,254
  4. Step 4: Simplify right side
    196,140x = 92,570,496,516
  5. Step 5: Solve for x
    x = 92,570,496,516/196,140
  6. Step 6: Final answer
    x = 471,961.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.