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Finding the Third Proportional to 255,071.06 and 556,069.13

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Solution

The third proportional to 255,071.06 and 556,069.13 is: 1,212,261.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,071.06 : 556,069.13 = 556,069.13 : x
  2. Step 2: Convert to fraction form
    255,071.06/556,069.13 = 556,069.13/x
  3. Step 3: Cross multiply
    255,071.06x = 556,069.13 × 556,069.13
  4. Step 4: Simplify right side
    255,071.06x = 309,212,871,778.27
  5. Step 5: Solve for x
    x = 309,212,871,778.27/255,071.06
  6. Step 6: Final answer
    x = 1,212,261.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.