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Finding the Third Proportional to 208,931.63 and 451,113.75

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Solution

The third proportional to 208,931.63 and 451,113.75 is: 974,020.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,931.63 : 451,113.75 = 451,113.75 : x
  2. Step 2: Convert to fraction form
    208,931.63/451,113.75 = 451,113.75/x
  3. Step 3: Cross multiply
    208,931.63x = 451,113.75 × 451,113.75
  4. Step 4: Simplify right side
    208,931.63x = 203,503,615,439.06
  5. Step 5: Solve for x
    x = 203,503,615,439.06/208,931.63
  6. Step 6: Final answer
    x = 974,020.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.