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Finding the Third Proportional to 113,407.50 and 241,152

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Solution

The third proportional to 113,407.50 and 241,152 is: 512,790.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,407.50 : 241,152 = 241,152 : x
  2. Step 2: Convert to fraction form
    113,407.50/241,152 = 241,152/x
  3. Step 3: Cross multiply
    113,407.50x = 241,152 × 241,152
  4. Step 4: Simplify right side
    113,407.50x = 58,154,287,104
  5. Step 5: Solve for x
    x = 58,154,287,104/113,407.50
  6. Step 6: Final answer
    x = 512,790.49

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.