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Finding the Third Proportional to 130,824 and 285,264

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Solution

The third proportional to 130,824 and 285,264 is: 622,023.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,824 : 285,264 = 285,264 : x
  2. Step 2: Convert to fraction form
    130,824/285,264 = 285,264/x
  3. Step 3: Cross multiply
    130,824x = 285,264 × 285,264
  4. Step 4: Simplify right side
    130,824x = 81,375,549,696
  5. Step 5: Solve for x
    x = 81,375,549,696/130,824
  6. Step 6: Final answer
    x = 622,023.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.