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Finding the Third Proportional to 186,316.45 and 295,512.05

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Solution

The third proportional to 186,316.45 and 295,512.05 is: 468,704.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,316.45 : 295,512.05 = 295,512.05 : x
  2. Step 2: Convert to fraction form
    186,316.45/295,512.05 = 295,512.05/x
  3. Step 3: Cross multiply
    186,316.45x = 295,512.05 × 295,512.05
  4. Step 4: Simplify right side
    186,316.45x = 87,327,369,848.25
  5. Step 5: Solve for x
    x = 87,327,369,848.25/186,316.45
  6. Step 6: Final answer
    x = 468,704.55

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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.