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Finding the Third Proportional to 130,028.50 and 270,366.50

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Solution

The third proportional to 130,028.50 and 270,366.50 is: 562,169.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,028.50 : 270,366.50 = 270,366.50 : x
  2. Step 2: Convert to fraction form
    130,028.50/270,366.50 = 270,366.50/x
  3. Step 3: Cross multiply
    130,028.50x = 270,366.50 × 270,366.50
  4. Step 4: Simplify right side
    130,028.50x = 73,098,044,322.25
  5. Step 5: Solve for x
    x = 73,098,044,322.25/130,028.50
  6. Step 6: Final answer
    x = 562,169.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.