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Finding the Third Proportional to 186,830 and 284,565

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Solution

The third proportional to 186,830 and 284,565 is: 433,427.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,830 : 284,565 = 284,565 : x
  2. Step 2: Convert to fraction form
    186,830/284,565 = 284,565/x
  3. Step 3: Cross multiply
    186,830x = 284,565 × 284,565
  4. Step 4: Simplify right side
    186,830x = 80,977,239,225
  5. Step 5: Solve for x
    x = 80,977,239,225/186,830
  6. Step 6: Final answer
    x = 433,427.39

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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.