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Finding the Third Proportional to 199,482.75 and 306,605.25

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Solution

The third proportional to 199,482.75 and 306,605.25 is: 471,252.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,482.75 : 306,605.25 = 306,605.25 : x
  2. Step 2: Convert to fraction form
    199,482.75/306,605.25 = 306,605.25/x
  3. Step 3: Cross multiply
    199,482.75x = 306,605.25 × 306,605.25
  4. Step 4: Simplify right side
    199,482.75x = 94,006,779,327.56
  5. Step 5: Solve for x
    x = 94,006,779,327.56/199,482.75
  6. Step 6: Final answer
    x = 471,252.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.