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Finding the Third Proportional to 137,617.88 and 301,461.75

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Solution

The third proportional to 137,617.88 and 301,461.75 is: 660,373.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,617.88 : 301,461.75 = 301,461.75 : x
  2. Step 2: Convert to fraction form
    137,617.88/301,461.75 = 301,461.75/x
  3. Step 3: Cross multiply
    137,617.88x = 301,461.75 × 301,461.75
  4. Step 4: Simplify right side
    137,617.88x = 90,879,186,713.06
  5. Step 5: Solve for x
    x = 90,879,186,713.06/137,617.88
  6. Step 6: Final answer
    x = 660,373.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.