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Finding the Third Proportional to 186,359 and 295,554

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Solution

The third proportional to 186,359 and 295,554 is: 468,730.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,359 : 295,554 = 295,554 : x
  2. Step 2: Convert to fraction form
    186,359/295,554 = 295,554/x
  3. Step 3: Cross multiply
    186,359x = 295,554 × 295,554
  4. Step 4: Simplify right side
    186,359x = 87,352,166,916
  5. Step 5: Solve for x
    x = 87,352,166,916/186,359
  6. Step 6: Final answer
    x = 468,730.61

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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.