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Finding the Third Proportional to 140,140 and 201,462

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Solution

The third proportional to 140,140 and 201,462 is: 289,617.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,140 : 201,462 = 201,462 : x
  2. Step 2: Convert to fraction form
    140,140/201,462 = 201,462/x
  3. Step 3: Cross multiply
    140,140x = 201,462 × 201,462
  4. Step 4: Simplify right side
    140,140x = 40,586,937,444
  5. Step 5: Solve for x
    x = 40,586,937,444/140,140
  6. Step 6: Final answer
    x = 289,617.08

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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.