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Finding the Third Proportional to 140,430 and 300,624

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Solution

The third proportional to 140,430 and 300,624 is: 643,557.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,430 : 300,624 = 300,624 : x
  2. Step 2: Convert to fraction form
    140,430/300,624 = 300,624/x
  3. Step 3: Cross multiply
    140,430x = 300,624 × 300,624
  4. Step 4: Simplify right side
    140,430x = 90,374,789,376
  5. Step 5: Solve for x
    x = 90,374,789,376/140,430
  6. Step 6: Final answer
    x = 643,557.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.