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Finding the Third Proportional to 124,679.25 and 270,256.50

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Solution

The third proportional to 124,679.25 and 270,256.50 is: 585,811.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,679.25 : 270,256.50 = 270,256.50 : x
  2. Step 2: Convert to fraction form
    124,679.25/270,256.50 = 270,256.50/x
  3. Step 3: Cross multiply
    124,679.25x = 270,256.50 × 270,256.50
  4. Step 4: Simplify right side
    124,679.25x = 73,038,575,792.25
  5. Step 5: Solve for x
    x = 73,038,575,792.25/124,679.25
  6. Step 6: Final answer
    x = 585,811.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.