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Finding the Third Proportional to 130,172.06 and 263,966.34

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Solution

The third proportional to 130,172.06 and 263,966.34 is: 535,277.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,172.06 : 263,966.34 = 263,966.34 : x
  2. Step 2: Convert to fraction form
    130,172.06/263,966.34 = 263,966.34/x
  3. Step 3: Cross multiply
    130,172.06x = 263,966.34 × 263,966.34
  4. Step 4: Simplify right side
    130,172.06x = 69,678,230,632.74
  5. Step 5: Solve for x
    x = 69,678,230,632.74/130,172.06
  6. Step 6: Final answer
    x = 535,277.92

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.