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Finding the Third Proportional to 206,816 and 302,013.50

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Solution

The third proportional to 206,816 and 302,013.50 is: 441,030.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,816 : 302,013.50 = 302,013.50 : x
  2. Step 2: Convert to fraction form
    206,816/302,013.50 = 302,013.50/x
  3. Step 3: Cross multiply
    206,816x = 302,013.50 × 302,013.50
  4. Step 4: Simplify right side
    206,816x = 91,212,154,182.25
  5. Step 5: Solve for x
    x = 91,212,154,182.25/206,816
  6. Step 6: Final answer
    x = 441,030.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.