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Finding the Third Proportional to 130,745 and 282,226

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Solution

The third proportional to 130,745 and 282,226 is: 609,212.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,745 : 282,226 = 282,226 : x
  2. Step 2: Convert to fraction form
    130,745/282,226 = 282,226/x
  3. Step 3: Cross multiply
    130,745x = 282,226 × 282,226
  4. Step 4: Simplify right side
    130,745x = 79,651,515,076
  5. Step 5: Solve for x
    x = 79,651,515,076/130,745
  6. Step 6: Final answer
    x = 609,212.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.