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Finding the Third Proportional to 130,420.13 and 274,849.45

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Solution

The third proportional to 130,420.13 and 274,849.45 is: 579,222.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,420.13 : 274,849.45 = 274,849.45 : x
  2. Step 2: Convert to fraction form
    130,420.13/274,849.45 = 274,849.45/x
  3. Step 3: Cross multiply
    130,420.13x = 274,849.45 × 274,849.45
  4. Step 4: Simplify right side
    130,420.13x = 75,542,221,883.11
  5. Step 5: Solve for x
    x = 75,542,221,883.11/130,420.13
  6. Step 6: Final answer
    x = 579,222.12

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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.