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Finding the Third Proportional to 129,473.25 and 282,483.75

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Solution

The third proportional to 129,473.25 and 282,483.75 is: 616,320.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,473.25 : 282,483.75 = 282,483.75 : x
  2. Step 2: Convert to fraction form
    129,473.25/282,483.75 = 282,483.75/x
  3. Step 3: Cross multiply
    129,473.25x = 282,483.75 × 282,483.75
  4. Step 4: Simplify right side
    129,473.25x = 79,797,069,014.06
  5. Step 5: Solve for x
    x = 79,797,069,014.06/129,473.25
  6. Step 6: Final answer
    x = 616,320.89

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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.