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Finding the Third Proportional to 162,066 and 245,337

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Solution

The third proportional to 162,066 and 245,337 is: 371,393.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,066 : 245,337 = 245,337 : x
  2. Step 2: Convert to fraction form
    162,066/245,337 = 245,337/x
  3. Step 3: Cross multiply
    162,066x = 245,337 × 245,337
  4. Step 4: Simplify right side
    162,066x = 60,190,243,569
  5. Step 5: Solve for x
    x = 60,190,243,569/162,066
  6. Step 6: Final answer
    x = 371,393.40

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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.