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Finding the Third Proportional to 130,743 and 282,222

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Solution

The third proportional to 130,743 and 282,222 is: 609,204.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,743 : 282,222 = 282,222 : x
  2. Step 2: Convert to fraction form
    130,743/282,222 = 282,222/x
  3. Step 3: Cross multiply
    130,743x = 282,222 × 282,222
  4. Step 4: Simplify right side
    130,743x = 79,649,257,284
  5. Step 5: Solve for x
    x = 79,649,257,284/130,743
  6. Step 6: Final answer
    x = 609,204.76

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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.