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Finding the Third Proportional to 113,509.48 and 238,782.94

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Solution

The third proportional to 113,509.48 and 238,782.94 is: 502,313.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,509.48 : 238,782.94 = 238,782.94 : x
  2. Step 2: Convert to fraction form
    113,509.48/238,782.94 = 238,782.94/x
  3. Step 3: Cross multiply
    113,509.48x = 238,782.94 × 238,782.94
  4. Step 4: Simplify right side
    113,509.48x = 57,017,291,241.13
  5. Step 5: Solve for x
    x = 57,017,291,241.13/113,509.48
  6. Step 6: Final answer
    x = 502,313.05

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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.