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Finding the Third Proportional to 186,358.22 and 295,552.55

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Solution

The third proportional to 186,358.22 and 295,552.55 is: 468,727.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,358.22 : 295,552.55 = 295,552.55 : x
  2. Step 2: Convert to fraction form
    186,358.22/295,552.55 = 295,552.55/x
  3. Step 3: Cross multiply
    186,358.22x = 295,552.55 × 295,552.55
  4. Step 4: Simplify right side
    186,358.22x = 87,351,307,964.30
  5. Step 5: Solve for x
    x = 87,351,307,964.30/186,358.22
  6. Step 6: Final answer
    x = 468,727.96

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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.