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Finding the Third Proportional to 113,561 and 238,892.50

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Solution

The third proportional to 113,561 and 238,892.50 is: 502,546.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,561 : 238,892.50 = 238,892.50 : x
  2. Step 2: Convert to fraction form
    113,561/238,892.50 = 238,892.50/x
  3. Step 3: Cross multiply
    113,561x = 238,892.50 × 238,892.50
  4. Step 4: Simplify right side
    113,561x = 57,069,626,556.25
  5. Step 5: Solve for x
    x = 57,069,626,556.25/113,561
  6. Step 6: Final answer
    x = 502,546.00

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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.