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Finding the Third Proportional to 153,919 and 245,884

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Solution

The third proportional to 153,919 and 245,884 is: 392,797.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,919 : 245,884 = 245,884 : x
  2. Step 2: Convert to fraction form
    153,919/245,884 = 245,884/x
  3. Step 3: Cross multiply
    153,919x = 245,884 × 245,884
  4. Step 4: Simplify right side
    153,919x = 60,458,941,456
  5. Step 5: Solve for x
    x = 60,458,941,456/153,919
  6. Step 6: Final answer
    x = 392,797.13

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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.