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Finding the Third Proportional to 142,223 and 304,687

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Solution

The third proportional to 142,223 and 304,687 is: 652,736.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,223 : 304,687 = 304,687 : x
  2. Step 2: Convert to fraction form
    142,223/304,687 = 304,687/x
  3. Step 3: Cross multiply
    142,223x = 304,687 × 304,687
  4. Step 4: Simplify right side
    142,223x = 92,834,167,969
  5. Step 5: Solve for x
    x = 92,834,167,969/142,223
  6. Step 6: Final answer
    x = 652,736.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.