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Finding the Third Proportional to 229,285.69 and 330,259.78

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Solution

The third proportional to 229,285.69 and 330,259.78 is: 475,701.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,285.69 : 330,259.78 = 330,259.78 : x
  2. Step 2: Convert to fraction form
    229,285.69/330,259.78 = 330,259.78/x
  3. Step 3: Cross multiply
    229,285.69x = 330,259.78 × 330,259.78
  4. Step 4: Simplify right side
    229,285.69x = 109,071,523,111.30
  5. Step 5: Solve for x
    x = 109,071,523,111.30/229,285.69
  6. Step 6: Final answer
    x = 475,701.40

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.