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Finding the Third Proportional to 237,213 and 376,935.75

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Solution

The third proportional to 237,213 and 376,935.75 is: 598,957.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,213 : 376,935.75 = 376,935.75 : x
  2. Step 2: Convert to fraction form
    237,213/376,935.75 = 376,935.75/x
  3. Step 3: Cross multiply
    237,213x = 376,935.75 × 376,935.75
  4. Step 4: Simplify right side
    237,213x = 142,080,559,628.06
  5. Step 5: Solve for x
    x = 142,080,559,628.06/237,213
  6. Step 6: Final answer
    x = 598,957.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.