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Finding the Third Proportional to 125,255.81 and 262,820.25

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Solution

The third proportional to 125,255.81 and 262,820.25 is: 551,467.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,255.81 : 262,820.25 = 262,820.25 : x
  2. Step 2: Convert to fraction form
    125,255.81/262,820.25 = 262,820.25/x
  3. Step 3: Cross multiply
    125,255.81x = 262,820.25 × 262,820.25
  4. Step 4: Simplify right side
    125,255.81x = 69,074,483,810.06
  5. Step 5: Solve for x
    x = 69,074,483,810.06/125,255.81
  6. Step 6: Final answer
    x = 551,467.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.