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Finding the Third Proportional to 113,582 and 238,938

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Solution

The third proportional to 113,582 and 238,938 is: 502,644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,582 : 238,938 = 238,938 : x
  2. Step 2: Convert to fraction form
    113,582/238,938 = 238,938/x
  3. Step 3: Cross multiply
    113,582x = 238,938 × 238,938
  4. Step 4: Simplify right side
    113,582x = 57,091,367,844
  5. Step 5: Solve for x
    x = 57,091,367,844/113,582
  6. Step 6: Final answer
    x = 502,644.50

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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.