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Finding the Third Proportional to 113,574.94 and 238,916.25

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Solution

The third proportional to 113,574.94 and 238,916.25 is: 502,584.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,574.94 : 238,916.25 = 238,916.25 : x
  2. Step 2: Convert to fraction form
    113,574.94/238,916.25 = 238,916.25/x
  3. Step 3: Cross multiply
    113,574.94x = 238,916.25 × 238,916.25
  4. Step 4: Simplify right side
    113,574.94x = 57,080,974,514.06
  5. Step 5: Solve for x
    x = 57,080,974,514.06/113,574.94
  6. Step 6: Final answer
    x = 502,584.25

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.