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Finding the Third Proportional to 144,964.50 and 204,141

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Solution

The third proportional to 144,964.50 and 204,141 is: 287,474.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,964.50 : 204,141 = 204,141 : x
  2. Step 2: Convert to fraction form
    144,964.50/204,141 = 204,141/x
  3. Step 3: Cross multiply
    144,964.50x = 204,141 × 204,141
  4. Step 4: Simplify right side
    144,964.50x = 41,673,547,881
  5. Step 5: Solve for x
    x = 41,673,547,881/144,964.50
  6. Step 6: Final answer
    x = 287,474.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.