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Finding the Third Proportional to 137,662.13 and 304,803.38

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Solution

The third proportional to 137,662.13 and 304,803.38 is: 674,877.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,662.13 : 304,803.38 = 304,803.38 : x
  2. Step 2: Convert to fraction form
    137,662.13/304,803.38 = 304,803.38/x
  3. Step 3: Cross multiply
    137,662.13x = 304,803.38 × 304,803.38
  4. Step 4: Simplify right side
    137,662.13x = 92,905,097,411.39
  5. Step 5: Solve for x
    x = 92,905,097,411.39/137,662.13
  6. Step 6: Final answer
    x = 674,877.69

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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.