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Finding the Third Proportional to 175,038 and 254,902

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Solution

The third proportional to 175,038 and 254,902 is: 371,205.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,038 : 254,902 = 254,902 : x
  2. Step 2: Convert to fraction form
    175,038/254,902 = 254,902/x
  3. Step 3: Cross multiply
    175,038x = 254,902 × 254,902
  4. Step 4: Simplify right side
    175,038x = 64,975,029,604
  5. Step 5: Solve for x
    x = 64,975,029,604/175,038
  6. Step 6: Final answer
    x = 371,205.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.