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Finding the Third Proportional to 186,816.75 and 297,407.25

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Solution

The third proportional to 186,816.75 and 297,407.25 is: 473,464.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,816.75 : 297,407.25 = 297,407.25 : x
  2. Step 2: Convert to fraction form
    186,816.75/297,407.25 = 297,407.25/x
  3. Step 3: Cross multiply
    186,816.75x = 297,407.25 × 297,407.25
  4. Step 4: Simplify right side
    186,816.75x = 88,451,072,352.56
  5. Step 5: Solve for x
    x = 88,451,072,352.56/186,816.75
  6. Step 6: Final answer
    x = 473,464.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.