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Finding the Third Proportional to 138,555.56 and 202,897.41

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Solution

The third proportional to 138,555.56 and 202,897.41 is: 297,118.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,555.56 : 202,897.41 = 202,897.41 : x
  2. Step 2: Convert to fraction form
    138,555.56/202,897.41 = 202,897.41/x
  3. Step 3: Cross multiply
    138,555.56x = 202,897.41 × 202,897.41
  4. Step 4: Simplify right side
    138,555.56x = 41,167,357,462.98
  5. Step 5: Solve for x
    x = 41,167,357,462.98/138,555.56
  6. Step 6: Final answer
    x = 297,118.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.