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Finding the Third Proportional to 113,486.06 and 256,208.06

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Solution

The third proportional to 113,486.06 and 256,208.06 is: 578,419.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,486.06 : 256,208.06 = 256,208.06 : x
  2. Step 2: Convert to fraction form
    113,486.06/256,208.06 = 256,208.06/x
  3. Step 3: Cross multiply
    113,486.06x = 256,208.06 × 256,208.06
  4. Step 4: Simplify right side
    113,486.06x = 65,642,571,290.00
  5. Step 5: Solve for x
    x = 65,642,571,290.00/113,486.06
  6. Step 6: Final answer
    x = 578,419.67

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.