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Finding the Third Proportional to 229,052 and 356,666

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Solution

The third proportional to 229,052 and 356,666 is: 555,378.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,052 : 356,666 = 356,666 : x
  2. Step 2: Convert to fraction form
    229,052/356,666 = 356,666/x
  3. Step 3: Cross multiply
    229,052x = 356,666 × 356,666
  4. Step 4: Simplify right side
    229,052x = 127,210,635,556
  5. Step 5: Solve for x
    x = 127,210,635,556/229,052
  6. Step 6: Final answer
    x = 555,378.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.