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Finding the Third Proportional to 137,850 and 300,312

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Solution

The third proportional to 137,850 and 300,312 is: 654,242.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,850 : 300,312 = 300,312 : x
  2. Step 2: Convert to fraction form
    137,850/300,312 = 300,312/x
  3. Step 3: Cross multiply
    137,850x = 300,312 × 300,312
  4. Step 4: Simplify right side
    137,850x = 90,187,297,344
  5. Step 5: Solve for x
    x = 90,187,297,344/137,850
  6. Step 6: Final answer
    x = 654,242.27

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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.