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Finding the Third Proportional to 144,433.13 and 225,397.69

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Solution

The third proportional to 144,433.13 and 225,397.69 is: 351,748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,433.13 : 225,397.69 = 225,397.69 : x
  2. Step 2: Convert to fraction form
    144,433.13/225,397.69 = 225,397.69/x
  3. Step 3: Cross multiply
    144,433.13x = 225,397.69 × 225,397.69
  4. Step 4: Simplify right side
    144,433.13x = 50,804,117,530.35
  5. Step 5: Solve for x
    x = 50,804,117,530.35/144,433.13
  6. Step 6: Final answer
    x = 351,748.38

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.