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Finding the Third Proportional to 130,226 and 264,074

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Solution

The third proportional to 130,226 and 264,074 is: 535,492.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,226 : 264,074 = 264,074 : x
  2. Step 2: Convert to fraction form
    130,226/264,074 = 264,074/x
  3. Step 3: Cross multiply
    130,226x = 264,074 × 264,074
  4. Step 4: Simplify right side
    130,226x = 69,735,077,476
  5. Step 5: Solve for x
    x = 69,735,077,476/130,226
  6. Step 6: Final answer
    x = 535,492.74

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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.