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Finding the Third Proportional to 206,925.50 and 316,405

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Solution

The third proportional to 206,925.50 and 316,405 is: 483,807.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,925.50 : 316,405 = 316,405 : x
  2. Step 2: Convert to fraction form
    206,925.50/316,405 = 316,405/x
  3. Step 3: Cross multiply
    206,925.50x = 316,405 × 316,405
  4. Step 4: Simplify right side
    206,925.50x = 100,112,124,025
  5. Step 5: Solve for x
    x = 100,112,124,025/206,925.50
  6. Step 6: Final answer
    x = 483,807.57

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.