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Finding the Third Proportional to 197,026 and 304,776

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Solution

The third proportional to 197,026 and 304,776 is: 471,452.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,026 : 304,776 = 304,776 : x
  2. Step 2: Convert to fraction form
    197,026/304,776 = 304,776/x
  3. Step 3: Cross multiply
    197,026x = 304,776 × 304,776
  4. Step 4: Simplify right side
    197,026x = 92,888,410,176
  5. Step 5: Solve for x
    x = 92,888,410,176/197,026
  6. Step 6: Final answer
    x = 471,452.55

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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.