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Finding the Third Proportional to 130,365 and 274,743

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Solution

The third proportional to 130,365 and 274,743 is: 579,018.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,365 : 274,743 = 274,743 : x
  2. Step 2: Convert to fraction form
    130,365/274,743 = 274,743/x
  3. Step 3: Cross multiply
    130,365x = 274,743 × 274,743
  4. Step 4: Simplify right side
    130,365x = 75,483,716,049
  5. Step 5: Solve for x
    x = 75,483,716,049/130,365
  6. Step 6: Final answer
    x = 579,018.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.