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Finding the Third Proportional to 144,623 and 312,641

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Solution

The third proportional to 144,623 and 312,641 is: 675,856.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,623 : 312,641 = 312,641 : x
  2. Step 2: Convert to fraction form
    144,623/312,641 = 312,641/x
  3. Step 3: Cross multiply
    144,623x = 312,641 × 312,641
  4. Step 4: Simplify right side
    144,623x = 97,744,394,881
  5. Step 5: Solve for x
    x = 97,744,394,881/144,623
  6. Step 6: Final answer
    x = 675,856.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.