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Finding the Third Proportional to 154,897.31 and 229,467.94

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Solution

The third proportional to 154,897.31 and 229,467.94 is: 339,938.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,897.31 : 229,467.94 = 229,467.94 : x
  2. Step 2: Convert to fraction form
    154,897.31/229,467.94 = 229,467.94/x
  3. Step 3: Cross multiply
    154,897.31x = 229,467.94 × 229,467.94
  4. Step 4: Simplify right side
    154,897.31x = 52,655,534,340.50
  5. Step 5: Solve for x
    x = 52,655,534,340.50/154,897.31
  6. Step 6: Final answer
    x = 339,938.33

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.