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Finding the Third Proportional to 172,304.50 and 365,066

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Solution

The third proportional to 172,304.50 and 365,066 is: 773,474.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,304.50 : 365,066 = 365,066 : x
  2. Step 2: Convert to fraction form
    172,304.50/365,066 = 365,066/x
  3. Step 3: Cross multiply
    172,304.50x = 365,066 × 365,066
  4. Step 4: Simplify right side
    172,304.50x = 133,273,184,356
  5. Step 5: Solve for x
    x = 133,273,184,356/172,304.50
  6. Step 6: Final answer
    x = 773,474.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.