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Finding the Third Proportional to 162,749.25 and 334,246.50

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Solution

The third proportional to 162,749.25 and 334,246.50 is: 686,459.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,749.25 : 334,246.50 = 334,246.50 : x
  2. Step 2: Convert to fraction form
    162,749.25/334,246.50 = 334,246.50/x
  3. Step 3: Cross multiply
    162,749.25x = 334,246.50 × 334,246.50
  4. Step 4: Simplify right side
    162,749.25x = 111,720,722,762.25
  5. Step 5: Solve for x
    x = 111,720,722,762.25/162,749.25
  6. Step 6: Final answer
    x = 686,459.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.