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Finding the Third Proportional to 131,036.25 and 286,609.50

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Solution

The third proportional to 131,036.25 and 286,609.50 is: 626,887.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,036.25 : 286,609.50 = 286,609.50 : x
  2. Step 2: Convert to fraction form
    131,036.25/286,609.50 = 286,609.50/x
  3. Step 3: Cross multiply
    131,036.25x = 286,609.50 × 286,609.50
  4. Step 4: Simplify right side
    131,036.25x = 82,145,005,490.25
  5. Step 5: Solve for x
    x = 82,145,005,490.25/131,036.25
  6. Step 6: Final answer
    x = 626,887.64

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Why These Related Problems?

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