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Finding the Third Proportional to 137,673 and 291,885.14

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Solution

The third proportional to 137,673 and 291,885.14 is: 618,835.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,673 : 291,885.14 = 291,885.14 : x
  2. Step 2: Convert to fraction form
    137,673/291,885.14 = 291,885.14/x
  3. Step 3: Cross multiply
    137,673x = 291,885.14 × 291,885.14
  4. Step 4: Simplify right side
    137,673x = 85,196,935,317.68
  5. Step 5: Solve for x
    x = 85,196,935,317.68/137,673
  6. Step 6: Final answer
    x = 618,835.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.