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Finding the Third Proportional to 250,056 and 357,323

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Solution

The third proportional to 250,056 and 357,323 is: 510,604.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,056 : 357,323 = 357,323 : x
  2. Step 2: Convert to fraction form
    250,056/357,323 = 357,323/x
  3. Step 3: Cross multiply
    250,056x = 357,323 × 357,323
  4. Step 4: Simplify right side
    250,056x = 127,679,726,329
  5. Step 5: Solve for x
    x = 127,679,726,329/250,056
  6. Step 6: Final answer
    x = 510,604.53

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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.