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Finding the Third Proportional to 186,472.50 and 295,738.50

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Solution

The third proportional to 186,472.50 and 295,738.50 is: 469,030.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,472.50 : 295,738.50 = 295,738.50 : x
  2. Step 2: Convert to fraction form
    186,472.50/295,738.50 = 295,738.50/x
  3. Step 3: Cross multiply
    186,472.50x = 295,738.50 × 295,738.50
  4. Step 4: Simplify right side
    186,472.50x = 87,461,260,382.25
  5. Step 5: Solve for x
    x = 87,461,260,382.25/186,472.50
  6. Step 6: Final answer
    x = 469,030.34

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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.