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Finding the Third Proportional to 130,445.44 and 269,274.38

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Solution

The third proportional to 130,445.44 and 269,274.38 is: 555,854.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,445.44 : 269,274.38 = 269,274.38 : x
  2. Step 2: Convert to fraction form
    130,445.44/269,274.38 = 269,274.38/x
  3. Step 3: Cross multiply
    130,445.44x = 269,274.38 × 269,274.38
  4. Step 4: Simplify right side
    130,445.44x = 72,508,689,031.64
  5. Step 5: Solve for x
    x = 72,508,689,031.64/130,445.44
  6. Step 6: Final answer
    x = 555,854.54

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.