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Finding the Third Proportional to 145,968 and 314,444

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Solution

The third proportional to 145,968 and 314,444 is: 677,374.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,968 : 314,444 = 314,444 : x
  2. Step 2: Convert to fraction form
    145,968/314,444 = 314,444/x
  3. Step 3: Cross multiply
    145,968x = 314,444 × 314,444
  4. Step 4: Simplify right side
    145,968x = 98,875,029,136
  5. Step 5: Solve for x
    x = 98,875,029,136/145,968
  6. Step 6: Final answer
    x = 677,374.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.