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Finding the Third Proportional to 202,919 and 315,430.50

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Solution

The third proportional to 202,919 and 315,430.50 is: 490,325.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,919 : 315,430.50 = 315,430.50 : x
  2. Step 2: Convert to fraction form
    202,919/315,430.50 = 315,430.50/x
  3. Step 3: Cross multiply
    202,919x = 315,430.50 × 315,430.50
  4. Step 4: Simplify right side
    202,919x = 99,496,400,330.25
  5. Step 5: Solve for x
    x = 99,496,400,330.25/202,919
  6. Step 6: Final answer
    x = 490,325.70

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.