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Finding the Third Proportional to 211,046.50 and 302,320.38

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Solution

The third proportional to 211,046.50 and 302,320.38 is: 433,068.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,046.50 : 302,320.38 = 302,320.38 : x
  2. Step 2: Convert to fraction form
    211,046.50/302,320.38 = 302,320.38/x
  3. Step 3: Cross multiply
    211,046.50x = 302,320.38 × 302,320.38
  4. Step 4: Simplify right side
    211,046.50x = 91,397,609,140.14
  5. Step 5: Solve for x
    x = 91,397,609,140.14/211,046.50
  6. Step 6: Final answer
    x = 433,068.59

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.