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Finding the Third Proportional to 158,651 and 346,241

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Solution

The third proportional to 158,651 and 346,241 is: 755,638.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,651 : 346,241 = 346,241 : x
  2. Step 2: Convert to fraction form
    158,651/346,241 = 346,241/x
  3. Step 3: Cross multiply
    158,651x = 346,241 × 346,241
  4. Step 4: Simplify right side
    158,651x = 119,882,830,081
  5. Step 5: Solve for x
    x = 119,882,830,081/158,651
  6. Step 6: Final answer
    x = 755,638.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.