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Finding the Third Proportional to 131,036.06 and 286,606.69

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Solution

The third proportional to 131,036.06 and 286,606.69 is: 626,876.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,036.06 : 286,606.69 = 286,606.69 : x
  2. Step 2: Convert to fraction form
    131,036.06/286,606.69 = 286,606.69/x
  3. Step 3: Cross multiply
    131,036.06x = 286,606.69 × 286,606.69
  4. Step 4: Simplify right side
    131,036.06x = 82,143,393,319.72
  5. Step 5: Solve for x
    x = 82,143,393,319.72/131,036.06
  6. Step 6: Final answer
    x = 626,876.23

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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.