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Finding the Third Proportional to 154,666 and 235,239

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Solution

The third proportional to 154,666 and 235,239 is: 357,786.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,666 : 235,239 = 235,239 : x
  2. Step 2: Convert to fraction form
    154,666/235,239 = 235,239/x
  3. Step 3: Cross multiply
    154,666x = 235,239 × 235,239
  4. Step 4: Simplify right side
    154,666x = 55,337,387,121
  5. Step 5: Solve for x
    x = 55,337,387,121/154,666
  6. Step 6: Final answer
    x = 357,786.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.