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Finding the Third Proportional to 138,216.94 and 301,444.88

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Solution

The third proportional to 138,216.94 and 301,444.88 is: 657,437.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,216.94 : 301,444.88 = 301,444.88 : x
  2. Step 2: Convert to fraction form
    138,216.94/301,444.88 = 301,444.88/x
  3. Step 3: Cross multiply
    138,216.94x = 301,444.88 × 301,444.88
  4. Step 4: Simplify right side
    138,216.94x = 90,869,012,663.77
  5. Step 5: Solve for x
    x = 90,869,012,663.77/138,216.94
  6. Step 6: Final answer
    x = 657,437.61

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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.