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Finding the Third Proportional to 213,340.50 and 312,120

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Solution

The third proportional to 213,340.50 and 312,120 is: 456,635.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,340.50 : 312,120 = 312,120 : x
  2. Step 2: Convert to fraction form
    213,340.50/312,120 = 312,120/x
  3. Step 3: Cross multiply
    213,340.50x = 312,120 × 312,120
  4. Step 4: Simplify right side
    213,340.50x = 97,418,894,400
  5. Step 5: Solve for x
    x = 97,418,894,400/213,340.50
  6. Step 6: Final answer
    x = 456,635.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.