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Finding the Third Proportional to 169,353 and 230,674.50

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Solution

The third proportional to 169,353 and 230,674.50 is: 314,200.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,353 : 230,674.50 = 230,674.50 : x
  2. Step 2: Convert to fraction form
    169,353/230,674.50 = 230,674.50/x
  3. Step 3: Cross multiply
    169,353x = 230,674.50 × 230,674.50
  4. Step 4: Simplify right side
    169,353x = 53,210,724,950.25
  5. Step 5: Solve for x
    x = 53,210,724,950.25/169,353
  6. Step 6: Final answer
    x = 314,200.07

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.