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Finding the Third Proportional to 152,426 and 350,573

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Solution

The third proportional to 152,426 and 350,573 is: 806,302.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,426 : 350,573 = 350,573 : x
  2. Step 2: Convert to fraction form
    152,426/350,573 = 350,573/x
  3. Step 3: Cross multiply
    152,426x = 350,573 × 350,573
  4. Step 4: Simplify right side
    152,426x = 122,901,428,329
  5. Step 5: Solve for x
    x = 122,901,428,329/152,426
  6. Step 6: Final answer
    x = 806,302.26

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.