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Finding the Third Proportional to 153,923 and 245,897

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Solution

The third proportional to 153,923 and 245,897 is: 392,828.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,923 : 245,897 = 245,897 : x
  2. Step 2: Convert to fraction form
    153,923/245,897 = 245,897/x
  3. Step 3: Cross multiply
    153,923x = 245,897 × 245,897
  4. Step 4: Simplify right side
    153,923x = 60,465,334,609
  5. Step 5: Solve for x
    x = 60,465,334,609/153,923
  6. Step 6: Final answer
    x = 392,828.46

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.