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Finding the Third Proportional to 153,951 and 230,310

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Solution

The third proportional to 153,951 and 230,310 is: 344,542.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,951 : 230,310 = 230,310 : x
  2. Step 2: Convert to fraction form
    153,951/230,310 = 230,310/x
  3. Step 3: Cross multiply
    153,951x = 230,310 × 230,310
  4. Step 4: Simplify right side
    153,951x = 53,042,696,100
  5. Step 5: Solve for x
    x = 53,042,696,100/153,951
  6. Step 6: Final answer
    x = 344,542.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.