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Finding the Third Proportional to 131,342.50 and 208,009.50

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Solution

The third proportional to 131,342.50 and 208,009.50 is: 329,428.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,342.50 : 208,009.50 = 208,009.50 : x
  2. Step 2: Convert to fraction form
    131,342.50/208,009.50 = 208,009.50/x
  3. Step 3: Cross multiply
    131,342.50x = 208,009.50 × 208,009.50
  4. Step 4: Simplify right side
    131,342.50x = 43,267,952,090.25
  5. Step 5: Solve for x
    x = 43,267,952,090.25/131,342.50
  6. Step 6: Final answer
    x = 329,428.42

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.