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Finding the Third Proportional to 250,924.50 and 357,702.75

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Solution

The third proportional to 250,924.50 and 357,702.75 is: 509,919.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,924.50 : 357,702.75 = 357,702.75 : x
  2. Step 2: Convert to fraction form
    250,924.50/357,702.75 = 357,702.75/x
  3. Step 3: Cross multiply
    250,924.50x = 357,702.75 × 357,702.75
  4. Step 4: Simplify right side
    250,924.50x = 127,951,257,357.56
  5. Step 5: Solve for x
    x = 127,951,257,357.56/250,924.50
  6. Step 6: Final answer
    x = 509,919.35

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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.