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Finding the Third Proportional to 186,780 and 284,484

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Solution

The third proportional to 186,780 and 284,484 is: 433,296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,780 : 284,484 = 284,484 : x
  2. Step 2: Convert to fraction form
    186,780/284,484 = 284,484/x
  3. Step 3: Cross multiply
    186,780x = 284,484 × 284,484
  4. Step 4: Simplify right side
    186,780x = 80,931,146,256
  5. Step 5: Solve for x
    x = 80,931,146,256/186,780
  6. Step 6: Final answer
    x = 433,296.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.