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Finding the Third Proportional to 162,888 and 353,628

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Solution

The third proportional to 162,888 and 353,628 is: 767,722.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,888 : 353,628 = 353,628 : x
  2. Step 2: Convert to fraction form
    162,888/353,628 = 353,628/x
  3. Step 3: Cross multiply
    162,888x = 353,628 × 353,628
  4. Step 4: Simplify right side
    162,888x = 125,052,762,384
  5. Step 5: Solve for x
    x = 125,052,762,384/162,888
  6. Step 6: Final answer
    x = 767,722.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.