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Finding the Third Proportional to 193,256.50 and 420,822.25

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Solution

The third proportional to 193,256.50 and 420,822.25 is: 916,354.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,256.50 : 420,822.25 = 420,822.25 : x
  2. Step 2: Convert to fraction form
    193,256.50/420,822.25 = 420,822.25/x
  3. Step 3: Cross multiply
    193,256.50x = 420,822.25 × 420,822.25
  4. Step 4: Simplify right side
    193,256.50x = 177,091,366,095.06
  5. Step 5: Solve for x
    x = 177,091,366,095.06/193,256.50
  6. Step 6: Final answer
    x = 916,354.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.