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Finding the Third Proportional to 142,028 and 309,480

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Solution

The third proportional to 142,028 and 309,480 is: 674,359.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,028 : 309,480 = 309,480 : x
  2. Step 2: Convert to fraction form
    142,028/309,480 = 309,480/x
  3. Step 3: Cross multiply
    142,028x = 309,480 × 309,480
  4. Step 4: Simplify right side
    142,028x = 95,777,870,400
  5. Step 5: Solve for x
    x = 95,777,870,400/142,028
  6. Step 6: Final answer
    x = 674,359.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.