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Finding the Third Proportional to 137,205 and 300,645

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Solution

The third proportional to 137,205 and 300,645 is: 658,776.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,205 : 300,645 = 300,645 : x
  2. Step 2: Convert to fraction form
    137,205/300,645 = 300,645/x
  3. Step 3: Cross multiply
    137,205x = 300,645 × 300,645
  4. Step 4: Simplify right side
    137,205x = 90,387,416,025
  5. Step 5: Solve for x
    x = 90,387,416,025/137,205
  6. Step 6: Final answer
    x = 658,776.40

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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.