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Finding the Third Proportional to 162,931.50 and 219,246.75

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Solution

The third proportional to 162,931.50 and 219,246.75 is: 295,026.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,931.50 : 219,246.75 = 219,246.75 : x
  2. Step 2: Convert to fraction form
    162,931.50/219,246.75 = 219,246.75/x
  3. Step 3: Cross multiply
    162,931.50x = 219,246.75 × 219,246.75
  4. Step 4: Simplify right side
    162,931.50x = 48,069,137,385.56
  5. Step 5: Solve for x
    x = 48,069,137,385.56/162,931.50
  6. Step 6: Final answer
    x = 295,026.67

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.