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Finding the Third Proportional to 144,912 and 299,136

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Solution

The third proportional to 144,912 and 299,136 is: 617,494.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,912 : 299,136 = 299,136 : x
  2. Step 2: Convert to fraction form
    144,912/299,136 = 299,136/x
  3. Step 3: Cross multiply
    144,912x = 299,136 × 299,136
  4. Step 4: Simplify right side
    144,912x = 89,482,346,496
  5. Step 5: Solve for x
    x = 89,482,346,496/144,912
  6. Step 6: Final answer
    x = 617,494.39

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.