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Finding the Third Proportional to 148,442 and 302,066

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Solution

The third proportional to 148,442 and 302,066 is: 614,676.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,442 : 302,066 = 302,066 : x
  2. Step 2: Convert to fraction form
    148,442/302,066 = 302,066/x
  3. Step 3: Cross multiply
    148,442x = 302,066 × 302,066
  4. Step 4: Simplify right side
    148,442x = 91,243,868,356
  5. Step 5: Solve for x
    x = 91,243,868,356/148,442
  6. Step 6: Final answer
    x = 614,676.90

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.