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Finding the Third Proportional to 243,063.38 and 367,953

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Solution

The third proportional to 243,063.38 and 367,953 is: 557,012.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,063.38 : 367,953 = 367,953 : x
  2. Step 2: Convert to fraction form
    243,063.38/367,953 = 367,953/x
  3. Step 3: Cross multiply
    243,063.38x = 367,953 × 367,953
  4. Step 4: Simplify right side
    243,063.38x = 135,389,410,209
  5. Step 5: Solve for x
    x = 135,389,410,209/243,063.38
  6. Step 6: Final answer
    x = 557,012.80

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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.