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Finding the Third Proportional to 237,674 and 356,557

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Solution

The third proportional to 237,674 and 356,557 is: 534,904.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,674 : 356,557 = 356,557 : x
  2. Step 2: Convert to fraction form
    237,674/356,557 = 356,557/x
  3. Step 3: Cross multiply
    237,674x = 356,557 × 356,557
  4. Step 4: Simplify right side
    237,674x = 127,132,894,249
  5. Step 5: Solve for x
    x = 127,132,894,249/237,674
  6. Step 6: Final answer
    x = 534,904.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.