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Finding the Third Proportional to 144,965.64 and 221,753.64

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Solution

The third proportional to 144,965.64 and 221,753.64 is: 339,216.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,965.64 : 221,753.64 = 221,753.64 : x
  2. Step 2: Convert to fraction form
    144,965.64/221,753.64 = 221,753.64/x
  3. Step 3: Cross multiply
    144,965.64x = 221,753.64 × 221,753.64
  4. Step 4: Simplify right side
    144,965.64x = 49,174,675,397.99
  5. Step 5: Solve for x
    x = 49,174,675,397.99/144,965.64
  6. Step 6: Final answer
    x = 339,216.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.