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Finding the Third Proportional to 141,371 and 308,145

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Solution

The third proportional to 141,371 and 308,145 is: 671,660.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,371 : 308,145 = 308,145 : x
  2. Step 2: Convert to fraction form
    141,371/308,145 = 308,145/x
  3. Step 3: Cross multiply
    141,371x = 308,145 × 308,145
  4. Step 4: Simplify right side
    141,371x = 94,953,341,025
  5. Step 5: Solve for x
    x = 94,953,341,025/141,371
  6. Step 6: Final answer
    x = 671,660.67

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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.