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Finding the Third Proportional to 162,003 and 252,346.50

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Solution

The third proportional to 162,003 and 252,346.50 is: 393,071.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,003 : 252,346.50 = 252,346.50 : x
  2. Step 2: Convert to fraction form
    162,003/252,346.50 = 252,346.50/x
  3. Step 3: Cross multiply
    162,003x = 252,346.50 × 252,346.50
  4. Step 4: Simplify right side
    162,003x = 63,678,756,062.25
  5. Step 5: Solve for x
    x = 63,678,756,062.25/162,003
  6. Step 6: Final answer
    x = 393,071.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.