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Finding the Third Proportional to 144,828 and 302,897

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Solution

The third proportional to 144,828 and 302,897 is: 633,486.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,828 : 302,897 = 302,897 : x
  2. Step 2: Convert to fraction form
    144,828/302,897 = 302,897/x
  3. Step 3: Cross multiply
    144,828x = 302,897 × 302,897
  4. Step 4: Simplify right side
    144,828x = 91,746,592,609
  5. Step 5: Solve for x
    x = 91,746,592,609/144,828
  6. Step 6: Final answer
    x = 633,486.57

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.