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Finding the Third Proportional to 250,011 and 357,257.25

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Solution

The third proportional to 250,011 and 357,257.25 is: 510,508.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,011 : 357,257.25 = 357,257.25 : x
  2. Step 2: Convert to fraction form
    250,011/357,257.25 = 357,257.25/x
  3. Step 3: Cross multiply
    250,011x = 357,257.25 × 357,257.25
  4. Step 4: Simplify right side
    250,011x = 127,632,742,677.56
  5. Step 5: Solve for x
    x = 127,632,742,677.56/250,011
  6. Step 6: Final answer
    x = 510,508.51

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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.