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Finding the Third Proportional to 131,688.19 and 283,349.63

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Solution

The third proportional to 131,688.19 and 283,349.63 is: 609,675.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,688.19 : 283,349.63 = 283,349.63 : x
  2. Step 2: Convert to fraction form
    131,688.19/283,349.63 = 283,349.63/x
  3. Step 3: Cross multiply
    131,688.19x = 283,349.63 × 283,349.63
  4. Step 4: Simplify right side
    131,688.19x = 80,287,009,987.64
  5. Step 5: Solve for x
    x = 80,287,009,987.64/131,688.19
  6. Step 6: Final answer
    x = 609,675.11

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.