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Finding the Third Proportional to 197,044 and 312,066

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Solution

The third proportional to 197,044 and 312,066 is: 494,230.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,044 : 312,066 = 312,066 : x
  2. Step 2: Convert to fraction form
    197,044/312,066 = 312,066/x
  3. Step 3: Cross multiply
    197,044x = 312,066 × 312,066
  4. Step 4: Simplify right side
    197,044x = 97,385,188,356
  5. Step 5: Solve for x
    x = 97,385,188,356/197,044
  6. Step 6: Final answer
    x = 494,230.67

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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.