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Finding the Third Proportional to 134,049.50 and 208,985

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Solution

The third proportional to 134,049.50 and 208,985 is: 325,810.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,049.50 : 208,985 = 208,985 : x
  2. Step 2: Convert to fraction form
    134,049.50/208,985 = 208,985/x
  3. Step 3: Cross multiply
    134,049.50x = 208,985 × 208,985
  4. Step 4: Simplify right side
    134,049.50x = 43,674,730,225
  5. Step 5: Solve for x
    x = 43,674,730,225/134,049.50
  6. Step 6: Final answer
    x = 325,810.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.