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Finding the Third Proportional to 144,621 and 312,637

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Solution

The third proportional to 144,621 and 312,637 is: 675,848.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,621 : 312,637 = 312,637 : x
  2. Step 2: Convert to fraction form
    144,621/312,637 = 312,637/x
  3. Step 3: Cross multiply
    144,621x = 312,637 × 312,637
  4. Step 4: Simplify right side
    144,621x = 97,741,893,769
  5. Step 5: Solve for x
    x = 97,741,893,769/144,621
  6. Step 6: Final answer
    x = 675,848.55

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Why These Related Problems?

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