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Finding the Third Proportional to 130,253 and 283,834

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Solution

The third proportional to 130,253 and 283,834 is: 618,501.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,253 : 283,834 = 283,834 : x
  2. Step 2: Convert to fraction form
    130,253/283,834 = 283,834/x
  3. Step 3: Cross multiply
    130,253x = 283,834 × 283,834
  4. Step 4: Simplify right side
    130,253x = 80,561,739,556
  5. Step 5: Solve for x
    x = 80,561,739,556/130,253
  6. Step 6: Final answer
    x = 618,501.99

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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.