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Finding the Third Proportional to 186,684.75 and 409,657.50

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Solution

The third proportional to 186,684.75 and 409,657.50 is: 898,944.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,684.75 : 409,657.50 = 409,657.50 : x
  2. Step 2: Convert to fraction form
    186,684.75/409,657.50 = 409,657.50/x
  3. Step 3: Cross multiply
    186,684.75x = 409,657.50 × 409,657.50
  4. Step 4: Simplify right side
    186,684.75x = 167,819,267,306.25
  5. Step 5: Solve for x
    x = 167,819,267,306.25/186,684.75
  6. Step 6: Final answer
    x = 898,944.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.