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Finding the Third Proportional to 115,424 and 180,426

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Solution

The third proportional to 115,424 and 180,426 is: 282,034.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,424 : 180,426 = 180,426 : x
  2. Step 2: Convert to fraction form
    115,424/180,426 = 180,426/x
  3. Step 3: Cross multiply
    115,424x = 180,426 × 180,426
  4. Step 4: Simplify right side
    115,424x = 32,553,541,476
  5. Step 5: Solve for x
    x = 32,553,541,476/115,424
  6. Step 6: Final answer
    x = 282,034.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.