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Finding the Third Proportional to 250,920 and 357,695

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Solution

The third proportional to 250,920 and 357,695 is: 509,906.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,920 : 357,695 = 357,695 : x
  2. Step 2: Convert to fraction form
    250,920/357,695 = 357,695/x
  3. Step 3: Cross multiply
    250,920x = 357,695 × 357,695
  4. Step 4: Simplify right side
    250,920x = 127,945,713,025
  5. Step 5: Solve for x
    x = 127,945,713,025/250,920
  6. Step 6: Final answer
    x = 509,906.40

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.