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Finding the Third Proportional to 250,023 and 357,273

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Solution

The third proportional to 250,023 and 357,273 is: 510,529.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,023 : 357,273 = 357,273 : x
  2. Step 2: Convert to fraction form
    250,023/357,273 = 357,273/x
  3. Step 3: Cross multiply
    250,023x = 357,273 × 357,273
  4. Step 4: Simplify right side
    250,023x = 127,643,996,529
  5. Step 5: Solve for x
    x = 127,643,996,529/250,023
  6. Step 6: Final answer
    x = 510,529.02

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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.