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Finding the Third Proportional to 162,703.50 and 352,777.50

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Solution

The third proportional to 162,703.50 and 352,777.50 is: 764,900.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,703.50 : 352,777.50 = 352,777.50 : x
  2. Step 2: Convert to fraction form
    162,703.50/352,777.50 = 352,777.50/x
  3. Step 3: Cross multiply
    162,703.50x = 352,777.50 × 352,777.50
  4. Step 4: Simplify right side
    162,703.50x = 124,451,964,506.25
  5. Step 5: Solve for x
    x = 124,451,964,506.25/162,703.50
  6. Step 6: Final answer
    x = 764,900.35

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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.