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Finding the Third Proportional to 113,150.50 and 235,598

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Solution

The third proportional to 113,150.50 and 235,598 is: 490,553.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,150.50 : 235,598 = 235,598 : x
  2. Step 2: Convert to fraction form
    113,150.50/235,598 = 235,598/x
  3. Step 3: Cross multiply
    113,150.50x = 235,598 × 235,598
  4. Step 4: Simplify right side
    113,150.50x = 55,506,417,604
  5. Step 5: Solve for x
    x = 55,506,417,604/113,150.50
  6. Step 6: Final answer
    x = 490,553.89

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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.