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Finding the Third Proportional to 143,305 and 307,750

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Solution

The third proportional to 143,305 and 307,750 is: 660,898.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,305 : 307,750 = 307,750 : x
  2. Step 2: Convert to fraction form
    143,305/307,750 = 307,750/x
  3. Step 3: Cross multiply
    143,305x = 307,750 × 307,750
  4. Step 4: Simplify right side
    143,305x = 94,710,062,500
  5. Step 5: Solve for x
    x = 94,710,062,500/143,305
  6. Step 6: Final answer
    x = 660,898.52

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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.