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Finding the Third Proportional to 169,498.50 and 229,938

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Solution

The third proportional to 169,498.50 and 229,938 is: 311,928.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,498.50 : 229,938 = 229,938 : x
  2. Step 2: Convert to fraction form
    169,498.50/229,938 = 229,938/x
  3. Step 3: Cross multiply
    169,498.50x = 229,938 × 229,938
  4. Step 4: Simplify right side
    169,498.50x = 52,871,483,844
  5. Step 5: Solve for x
    x = 52,871,483,844/169,498.50
  6. Step 6: Final answer
    x = 311,928.92

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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.