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Finding the Third Proportional to 152,896 and 326,718

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Solution

The third proportional to 152,896 and 326,718 is: 698,152.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,896 : 326,718 = 326,718 : x
  2. Step 2: Convert to fraction form
    152,896/326,718 = 326,718/x
  3. Step 3: Cross multiply
    152,896x = 326,718 × 326,718
  4. Step 4: Simplify right side
    152,896x = 106,744,651,524
  5. Step 5: Solve for x
    x = 106,744,651,524/152,896
  6. Step 6: Final answer
    x = 698,152.02

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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.