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Finding the Third Proportional to 148,722.75 and 230,465.25

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Solution

The third proportional to 148,722.75 and 230,465.25 is: 357,135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,722.75 : 230,465.25 = 230,465.25 : x
  2. Step 2: Convert to fraction form
    148,722.75/230,465.25 = 230,465.25/x
  3. Step 3: Cross multiply
    148,722.75x = 230,465.25 × 230,465.25
  4. Step 4: Simplify right side
    148,722.75x = 53,114,231,457.56
  5. Step 5: Solve for x
    x = 53,114,231,457.56/148,722.75
  6. Step 6: Final answer
    x = 357,135.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.