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Finding the Third Proportional to 197,024 and 312,030

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Solution

The third proportional to 197,024 and 312,030 is: 494,166.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,024 : 312,030 = 312,030 : x
  2. Step 2: Convert to fraction form
    197,024/312,030 = 312,030/x
  3. Step 3: Cross multiply
    197,024x = 312,030 × 312,030
  4. Step 4: Simplify right side
    197,024x = 97,362,720,900
  5. Step 5: Solve for x
    x = 97,362,720,900/197,024
  6. Step 6: Final answer
    x = 494,166.81

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.