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Finding the Third Proportional to 142,484 and 300,988

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Solution

The third proportional to 142,484 and 300,988 is: 635,817.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,484 : 300,988 = 300,988 : x
  2. Step 2: Convert to fraction form
    142,484/300,988 = 300,988/x
  3. Step 3: Cross multiply
    142,484x = 300,988 × 300,988
  4. Step 4: Simplify right side
    142,484x = 90,593,776,144
  5. Step 5: Solve for x
    x = 90,593,776,144/142,484
  6. Step 6: Final answer
    x = 635,817.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.