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Finding the Third Proportional to 143,628 and 308,580

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Solution

The third proportional to 143,628 and 308,580 is: 662,973.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,628 : 308,580 = 308,580 : x
  2. Step 2: Convert to fraction form
    143,628/308,580 = 308,580/x
  3. Step 3: Cross multiply
    143,628x = 308,580 × 308,580
  4. Step 4: Simplify right side
    143,628x = 95,221,616,400
  5. Step 5: Solve for x
    x = 95,221,616,400/143,628
  6. Step 6: Final answer
    x = 662,973.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.