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Finding the Third Proportional to 130,605.75 and 286,125.75

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Solution

The third proportional to 130,605.75 and 286,125.75 is: 626,832.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,605.75 : 286,125.75 = 286,125.75 : x
  2. Step 2: Convert to fraction form
    130,605.75/286,125.75 = 286,125.75/x
  3. Step 3: Cross multiply
    130,605.75x = 286,125.75 × 286,125.75
  4. Step 4: Simplify right side
    130,605.75x = 81,867,944,813.06
  5. Step 5: Solve for x
    x = 81,867,944,813.06/130,605.75
  6. Step 6: Final answer
    x = 626,832.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.