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Finding the Third Proportional to 131,310 and 208,447.50

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Solution

The third proportional to 131,310 and 208,447.50 is: 330,899.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,310 : 208,447.50 = 208,447.50 : x
  2. Step 2: Convert to fraction form
    131,310/208,447.50 = 208,447.50/x
  3. Step 3: Cross multiply
    131,310x = 208,447.50 × 208,447.50
  4. Step 4: Simplify right side
    131,310x = 43,450,360,256.25
  5. Step 5: Solve for x
    x = 43,450,360,256.25/131,310
  6. Step 6: Final answer
    x = 330,899.10

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.