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Finding the Third Proportional to 137,012.13 and 298,858.68

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Solution

The third proportional to 137,012.13 and 298,858.68 is: 651,887.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,012.13 : 298,858.68 = 298,858.68 : x
  2. Step 2: Convert to fraction form
    137,012.13/298,858.68 = 298,858.68/x
  3. Step 3: Cross multiply
    137,012.13x = 298,858.68 × 298,858.68
  4. Step 4: Simplify right side
    137,012.13x = 89,316,508,089.72
  5. Step 5: Solve for x
    x = 89,316,508,089.72/137,012.13
  6. Step 6: Final answer
    x = 651,887.58

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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.