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Finding the Third Proportional to 113,575.50 and 238,905

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Solution

The third proportional to 113,575.50 and 238,905 is: 502,534.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,575.50 : 238,905 = 238,905 : x
  2. Step 2: Convert to fraction form
    113,575.50/238,905 = 238,905/x
  3. Step 3: Cross multiply
    113,575.50x = 238,905 × 238,905
  4. Step 4: Simplify right side
    113,575.50x = 57,075,599,025
  5. Step 5: Solve for x
    x = 57,075,599,025/113,575.50
  6. Step 6: Final answer
    x = 502,534.43

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Why These Related Problems?

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