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Finding the Third Proportional to 137,652 and 304,783.13

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Solution

The third proportional to 137,652 and 304,783.13 is: 674,837.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,652 : 304,783.13 = 304,783.13 : x
  2. Step 2: Convert to fraction form
    137,652/304,783.13 = 304,783.13/x
  3. Step 3: Cross multiply
    137,652x = 304,783.13 × 304,783.13
  4. Step 4: Simplify right side
    137,652x = 92,892,753,284.77
  5. Step 5: Solve for x
    x = 92,892,753,284.77/137,652
  6. Step 6: Final answer
    x = 674,837.66

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.