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Finding the Third Proportional to 250,050 and 357,315.75

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Solution

The third proportional to 250,050 and 357,315.75 is: 510,596.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,050 : 357,315.75 = 357,315.75 : x
  2. Step 2: Convert to fraction form
    250,050/357,315.75 = 357,315.75/x
  3. Step 3: Cross multiply
    250,050x = 357,315.75 × 357,315.75
  4. Step 4: Simplify right side
    250,050x = 127,674,545,198.06
  5. Step 5: Solve for x
    x = 127,674,545,198.06/250,050
  6. Step 6: Final answer
    x = 510,596.06

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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.