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Finding the Third Proportional to 134,967.94 and 312,458.34

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Solution

The third proportional to 134,967.94 and 312,458.34 is: 723,358.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,967.94 : 312,458.34 = 312,458.34 : x
  2. Step 2: Convert to fraction form
    134,967.94/312,458.34 = 312,458.34/x
  3. Step 3: Cross multiply
    134,967.94x = 312,458.34 × 312,458.34
  4. Step 4: Simplify right side
    134,967.94x = 97,630,216,578.99
  5. Step 5: Solve for x
    x = 97,630,216,578.99/134,967.94
  6. Step 6: Final answer
    x = 723,358.59

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.