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Finding the Third Proportional to 113,513 and 238,788.25

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Solution

The third proportional to 113,513 and 238,788.25 is: 502,319.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,513 : 238,788.25 = 238,788.25 : x
  2. Step 2: Convert to fraction form
    113,513/238,788.25 = 238,788.25/x
  3. Step 3: Cross multiply
    113,513x = 238,788.25 × 238,788.25
  4. Step 4: Simplify right side
    113,513x = 57,019,828,338.06
  5. Step 5: Solve for x
    x = 57,019,828,338.06/113,513
  6. Step 6: Final answer
    x = 502,319.81

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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.