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Finding the Third Proportional to 141,208.31 and 310,312.27

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Solution

The third proportional to 141,208.31 and 310,312.27 is: 681,926.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,208.31 : 310,312.27 = 310,312.27 : x
  2. Step 2: Convert to fraction form
    141,208.31/310,312.27 = 310,312.27/x
  3. Step 3: Cross multiply
    141,208.31x = 310,312.27 × 310,312.27
  4. Step 4: Simplify right side
    141,208.31x = 96,293,702,197.32
  5. Step 5: Solve for x
    x = 96,293,702,197.32/141,208.31
  6. Step 6: Final answer
    x = 681,926.58

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.