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Finding the Third Proportional to 140,130 and 201,447

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Solution

The third proportional to 140,130 and 201,447 is: 289,594.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,130 : 201,447 = 201,447 : x
  2. Step 2: Convert to fraction form
    140,130/201,447 = 201,447/x
  3. Step 3: Cross multiply
    140,130x = 201,447 × 201,447
  4. Step 4: Simplify right side
    140,130x = 40,580,893,809
  5. Step 5: Solve for x
    x = 40,580,893,809/140,130
  6. Step 6: Final answer
    x = 289,594.62

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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.