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Finding the Third Proportional to 130,811.63 and 282,536.44

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Solution

The third proportional to 130,811.63 and 282,536.44 is: 610,242.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,811.63 : 282,536.44 = 282,536.44 : x
  2. Step 2: Convert to fraction form
    130,811.63/282,536.44 = 282,536.44/x
  3. Step 3: Cross multiply
    130,811.63x = 282,536.44 × 282,536.44
  4. Step 4: Simplify right side
    130,811.63x = 79,826,838,515.19
  5. Step 5: Solve for x
    x = 79,826,838,515.19/130,811.63
  6. Step 6: Final answer
    x = 610,242.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.