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Finding the Third Proportional to 144,117 and 230,228

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Solution

The third proportional to 144,117 and 230,228 is: 367,790.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,117 : 230,228 = 230,228 : x
  2. Step 2: Convert to fraction form
    144,117/230,228 = 230,228/x
  3. Step 3: Cross multiply
    144,117x = 230,228 × 230,228
  4. Step 4: Simplify right side
    144,117x = 53,004,931,984
  5. Step 5: Solve for x
    x = 53,004,931,984/144,117
  6. Step 6: Final answer
    x = 367,790.98

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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.