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Finding the Third Proportional to 250,926 and 357,700.50

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Solution

The third proportional to 250,926 and 357,700.50 is: 509,909.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,926 : 357,700.50 = 357,700.50 : x
  2. Step 2: Convert to fraction form
    250,926/357,700.50 = 357,700.50/x
  3. Step 3: Cross multiply
    250,926x = 357,700.50 × 357,700.50
  4. Step 4: Simplify right side
    250,926x = 127,949,647,700.25
  5. Step 5: Solve for x
    x = 127,949,647,700.25/250,926
  6. Step 6: Final answer
    x = 509,909.88

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