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Finding the Third Proportional to 130,445.44 and 274,888.69

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Solution

The third proportional to 130,445.44 and 274,888.69 is: 579,275.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,445.44 : 274,888.69 = 274,888.69 : x
  2. Step 2: Convert to fraction form
    130,445.44/274,888.69 = 274,888.69/x
  3. Step 3: Cross multiply
    130,445.44x = 274,888.69 × 274,888.69
  4. Step 4: Simplify right side
    130,445.44x = 75,563,790,515.47
  5. Step 5: Solve for x
    x = 75,563,790,515.47/130,445.44
  6. Step 6: Final answer
    x = 579,275.07

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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.