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Finding the Third Proportional to 162,407 and 361,723

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Solution

The third proportional to 162,407 and 361,723 is: 805,652.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,407 : 361,723 = 361,723 : x
  2. Step 2: Convert to fraction form
    162,407/361,723 = 361,723/x
  3. Step 3: Cross multiply
    162,407x = 361,723 × 361,723
  4. Step 4: Simplify right side
    162,407x = 130,843,528,729
  5. Step 5: Solve for x
    x = 130,843,528,729/162,407
  6. Step 6: Final answer
    x = 805,652.03

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.