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Finding the Third Proportional to 144,160 and 230,296

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Solution

The third proportional to 144,160 and 230,296 is: 367,898.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,160 : 230,296 = 230,296 : x
  2. Step 2: Convert to fraction form
    144,160/230,296 = 230,296/x
  3. Step 3: Cross multiply
    144,160x = 230,296 × 230,296
  4. Step 4: Simplify right side
    144,160x = 53,036,247,616
  5. Step 5: Solve for x
    x = 53,036,247,616/144,160
  6. Step 6: Final answer
    x = 367,898.50

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.