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Finding the Third Proportional to 176,343.75 and 257,127.75

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Solution

The third proportional to 176,343.75 and 257,127.75 is: 374,919.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,343.75 : 257,127.75 = 257,127.75 : x
  2. Step 2: Convert to fraction form
    176,343.75/257,127.75 = 257,127.75/x
  3. Step 3: Cross multiply
    176,343.75x = 257,127.75 × 257,127.75
  4. Step 4: Simplify right side
    176,343.75x = 66,114,679,820.06
  5. Step 5: Solve for x
    x = 66,114,679,820.06/176,343.75
  6. Step 6: Final answer
    x = 374,919.33

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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.