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Finding the Third Proportional to 130,169 and 270,706

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Solution

The third proportional to 130,169 and 270,706 is: 562,973.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,169 : 270,706 = 270,706 : x
  2. Step 2: Convert to fraction form
    130,169/270,706 = 270,706/x
  3. Step 3: Cross multiply
    130,169x = 270,706 × 270,706
  4. Step 4: Simplify right side
    130,169x = 73,281,738,436
  5. Step 5: Solve for x
    x = 73,281,738,436/130,169
  6. Step 6: Final answer
    x = 562,973.81

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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.