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Finding the Third Proportional to 175,064 and 254,940

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Solution

The third proportional to 175,064 and 254,940 is: 371,260.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,064 : 254,940 = 254,940 : x
  2. Step 2: Convert to fraction form
    175,064/254,940 = 254,940/x
  3. Step 3: Cross multiply
    175,064x = 254,940 × 254,940
  4. Step 4: Simplify right side
    175,064x = 64,994,403,600
  5. Step 5: Solve for x
    x = 64,994,403,600/175,064
  6. Step 6: Final answer
    x = 371,260.82

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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.