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Finding the Third Proportional to 113,157 and 235,612.50

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Solution

The third proportional to 113,157 and 235,612.50 is: 490,586.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,157 : 235,612.50 = 235,612.50 : x
  2. Step 2: Convert to fraction form
    113,157/235,612.50 = 235,612.50/x
  3. Step 3: Cross multiply
    113,157x = 235,612.50 × 235,612.50
  4. Step 4: Simplify right side
    113,157x = 55,513,250,156.25
  5. Step 5: Solve for x
    x = 55,513,250,156.25/113,157
  6. Step 6: Final answer
    x = 490,586.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.