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Finding the Third Proportional to 154,225 and 371,535

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Solution

The third proportional to 154,225 and 371,535 is: 895,044.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,225 : 371,535 = 371,535 : x
  2. Step 2: Convert to fraction form
    154,225/371,535 = 371,535/x
  3. Step 3: Cross multiply
    154,225x = 371,535 × 371,535
  4. Step 4: Simplify right side
    154,225x = 138,038,256,225
  5. Step 5: Solve for x
    x = 138,038,256,225/154,225
  6. Step 6: Final answer
    x = 895,044.62

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.