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Finding the Third Proportional to 221,389.50 and 475,030.50

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Solution

The third proportional to 221,389.50 and 475,030.50 is: 1,019,262.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,389.50 : 475,030.50 = 475,030.50 : x
  2. Step 2: Convert to fraction form
    221,389.50/475,030.50 = 475,030.50/x
  3. Step 3: Cross multiply
    221,389.50x = 475,030.50 × 475,030.50
  4. Step 4: Simplify right side
    221,389.50x = 225,653,975,930.25
  5. Step 5: Solve for x
    x = 225,653,975,930.25/221,389.50
  6. Step 6: Final answer
    x = 1,019,262.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.