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Finding the Third Proportional to 175,066 and 257,085

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Solution

The third proportional to 175,066 and 257,085 is: 377,530.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,066 : 257,085 = 257,085 : x
  2. Step 2: Convert to fraction form
    175,066/257,085 = 257,085/x
  3. Step 3: Cross multiply
    175,066x = 257,085 × 257,085
  4. Step 4: Simplify right side
    175,066x = 66,092,697,225
  5. Step 5: Solve for x
    x = 66,092,697,225/175,066
  6. Step 6: Final answer
    x = 377,530.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.