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Finding the Third Proportional to 175,415 and 264,701

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Solution

The third proportional to 175,415 and 264,701 is: 399,433.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,415 : 264,701 = 264,701 : x
  2. Step 2: Convert to fraction form
    175,415/264,701 = 264,701/x
  3. Step 3: Cross multiply
    175,415x = 264,701 × 264,701
  4. Step 4: Simplify right side
    175,415x = 70,066,619,401
  5. Step 5: Solve for x
    x = 70,066,619,401/175,415
  6. Step 6: Final answer
    x = 399,433.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.