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Finding the Third Proportional to 118,407.50 and 253,703

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Solution

The third proportional to 118,407.50 and 253,703 is: 543,590.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,407.50 : 253,703 = 253,703 : x
  2. Step 2: Convert to fraction form
    118,407.50/253,703 = 253,703/x
  3. Step 3: Cross multiply
    118,407.50x = 253,703 × 253,703
  4. Step 4: Simplify right side
    118,407.50x = 64,365,212,209
  5. Step 5: Solve for x
    x = 64,365,212,209/118,407.50
  6. Step 6: Final answer
    x = 543,590.67

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.