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Finding the Third Proportional to 203,141 and 470,207.50

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Solution

The third proportional to 203,141 and 470,207.50 is: 1,088,382.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,141 : 470,207.50 = 470,207.50 : x
  2. Step 2: Convert to fraction form
    203,141/470,207.50 = 470,207.50/x
  3. Step 3: Cross multiply
    203,141x = 470,207.50 × 470,207.50
  4. Step 4: Simplify right side
    203,141x = 221,095,093,056.25
  5. Step 5: Solve for x
    x = 221,095,093,056.25/203,141
  6. Step 6: Final answer
    x = 1,088,382.42

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.