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Finding the Third Proportional to 192,051 and 420,265.13

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Solution

The third proportional to 192,051 and 420,265.13 is: 919,666.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,051 : 420,265.13 = 420,265.13 : x
  2. Step 2: Convert to fraction form
    192,051/420,265.13 = 420,265.13/x
  3. Step 3: Cross multiply
    192,051x = 420,265.13 × 420,265.13
  4. Step 4: Simplify right side
    192,051x = 176,622,775,291.27
  5. Step 5: Solve for x
    x = 176,622,775,291.27/192,051
  6. Step 6: Final answer
    x = 919,666.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.