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Finding the Third Proportional to 128,746.13 and 280,368.56

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Solution

The third proportional to 128,746.13 and 280,368.56 is: 610,554.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,746.13 : 280,368.56 = 280,368.56 : x
  2. Step 2: Convert to fraction form
    128,746.13/280,368.56 = 280,368.56/x
  3. Step 3: Cross multiply
    128,746.13x = 280,368.56 × 280,368.56
  4. Step 4: Simplify right side
    128,746.13x = 78,606,530,838.32
  5. Step 5: Solve for x
    x = 78,606,530,838.32/128,746.13
  6. Step 6: Final answer
    x = 610,554.54

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