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Finding the Third Proportional to 130,460.63 and 198,424.69

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Solution

The third proportional to 130,460.63 and 198,424.69 is: 301,794.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,460.63 : 198,424.69 = 198,424.69 : x
  2. Step 2: Convert to fraction form
    130,460.63/198,424.69 = 198,424.69/x
  3. Step 3: Cross multiply
    130,460.63x = 198,424.69 × 198,424.69
  4. Step 4: Simplify right side
    130,460.63x = 39,372,356,609.47
  5. Step 5: Solve for x
    x = 39,372,356,609.47/130,460.63
  6. Step 6: Final answer
    x = 301,794.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.