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Finding the Third Proportional to 175,066 and 373,459

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Solution

The third proportional to 175,066 and 373,459 is: 796,680.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,066 : 373,459 = 373,459 : x
  2. Step 2: Convert to fraction form
    175,066/373,459 = 373,459/x
  3. Step 3: Cross multiply
    175,066x = 373,459 × 373,459
  4. Step 4: Simplify right side
    175,066x = 139,471,624,681
  5. Step 5: Solve for x
    x = 139,471,624,681/175,066
  6. Step 6: Final answer
    x = 796,680.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.