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Finding the Third Proportional to 186,592.50 and 397,578

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Solution

The third proportional to 186,592.50 and 397,578 is: 847,130.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,592.50 : 397,578 = 397,578 : x
  2. Step 2: Convert to fraction form
    186,592.50/397,578 = 397,578/x
  3. Step 3: Cross multiply
    186,592.50x = 397,578 × 397,578
  4. Step 4: Simplify right side
    186,592.50x = 158,068,266,084
  5. Step 5: Solve for x
    x = 158,068,266,084/186,592.50
  6. Step 6: Final answer
    x = 847,130.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.