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Finding the Third Proportional to 255,797.25 and 426,302.25

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Solution

The third proportional to 255,797.25 and 426,302.25 is: 710,459.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,797.25 : 426,302.25 = 426,302.25 : x
  2. Step 2: Convert to fraction form
    255,797.25/426,302.25 = 426,302.25/x
  3. Step 3: Cross multiply
    255,797.25x = 426,302.25 × 426,302.25
  4. Step 4: Simplify right side
    255,797.25x = 181,733,608,355.06
  5. Step 5: Solve for x
    x = 181,733,608,355.06/255,797.25
  6. Step 6: Final answer
    x = 710,459.59

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.