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Finding the Third Proportional to 229,520 and 350,886

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Solution

The third proportional to 229,520 and 350,886 is: 536,428.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,520 : 350,886 = 350,886 : x
  2. Step 2: Convert to fraction form
    229,520/350,886 = 350,886/x
  3. Step 3: Cross multiply
    229,520x = 350,886 × 350,886
  4. Step 4: Simplify right side
    229,520x = 123,120,984,996
  5. Step 5: Solve for x
    x = 123,120,984,996/229,520
  6. Step 6: Final answer
    x = 536,428.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.