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Finding the Third Proportional to 197,416 and 301,032

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Solution

The third proportional to 197,416 and 301,032 is: 459,032.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,416 : 301,032 = 301,032 : x
  2. Step 2: Convert to fraction form
    197,416/301,032 = 301,032/x
  3. Step 3: Cross multiply
    197,416x = 301,032 × 301,032
  4. Step 4: Simplify right side
    197,416x = 90,620,265,024
  5. Step 5: Solve for x
    x = 90,620,265,024/197,416
  6. Step 6: Final answer
    x = 459,032.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.