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Finding the Third Proportional to 223,065 and 467,938.50

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Solution

The third proportional to 223,065 and 467,938.50 is: 981,626.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,065 : 467,938.50 = 467,938.50 : x
  2. Step 2: Convert to fraction form
    223,065/467,938.50 = 467,938.50/x
  3. Step 3: Cross multiply
    223,065x = 467,938.50 × 467,938.50
  4. Step 4: Simplify right side
    223,065x = 218,966,439,782.25
  5. Step 5: Solve for x
    x = 218,966,439,782.25/223,065
  6. Step 6: Final answer
    x = 981,626.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.