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Finding the Third Proportional to 114,503.63 and 252,254.25

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Solution

The third proportional to 114,503.63 and 252,254.25 is: 555,722.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,503.63 : 252,254.25 = 252,254.25 : x
  2. Step 2: Convert to fraction form
    114,503.63/252,254.25 = 252,254.25/x
  3. Step 3: Cross multiply
    114,503.63x = 252,254.25 × 252,254.25
  4. Step 4: Simplify right side
    114,503.63x = 63,632,206,643.06
  5. Step 5: Solve for x
    x = 63,632,206,643.06/114,503.63
  6. Step 6: Final answer
    x = 555,722.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.