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Finding the Third Proportional to 255,766.88 and 382,070.75

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Solution

The third proportional to 255,766.88 and 382,070.75 is: 570,746.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,766.88 : 382,070.75 = 382,070.75 : x
  2. Step 2: Convert to fraction form
    255,766.88/382,070.75 = 382,070.75/x
  3. Step 3: Cross multiply
    255,766.88x = 382,070.75 × 382,070.75
  4. Step 4: Simplify right side
    255,766.88x = 145,978,058,005.56
  5. Step 5: Solve for x
    x = 145,978,058,005.56/255,766.88
  6. Step 6: Final answer
    x = 570,746.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.