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Finding the Third Proportional to 250,057 and 357,326

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Solution

The third proportional to 250,057 and 357,326 is: 510,611.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,057 : 357,326 = 357,326 : x
  2. Step 2: Convert to fraction form
    250,057/357,326 = 357,326/x
  3. Step 3: Cross multiply
    250,057x = 357,326 × 357,326
  4. Step 4: Simplify right side
    250,057x = 127,681,870,276
  5. Step 5: Solve for x
    x = 127,681,870,276/250,057
  6. Step 6: Final answer
    x = 510,611.06

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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.