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Finding the Third Proportional to 214,316.25 and 293,886.19

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Solution

The third proportional to 214,316.25 and 293,886.19 is: 402,998.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,316.25 : 293,886.19 = 293,886.19 : x
  2. Step 2: Convert to fraction form
    214,316.25/293,886.19 = 293,886.19/x
  3. Step 3: Cross multiply
    214,316.25x = 293,886.19 × 293,886.19
  4. Step 4: Simplify right side
    214,316.25x = 86,369,091,203.29
  5. Step 5: Solve for x
    x = 86,369,091,203.29/214,316.25
  6. Step 6: Final answer
    x = 402,998.33

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.