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Finding the Third Proportional to 158,454 and 237,715

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Solution

The third proportional to 158,454 and 237,715 is: 356,623.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,454 : 237,715 = 237,715 : x
  2. Step 2: Convert to fraction form
    158,454/237,715 = 237,715/x
  3. Step 3: Cross multiply
    158,454x = 237,715 × 237,715
  4. Step 4: Simplify right side
    158,454x = 56,508,421,225
  5. Step 5: Solve for x
    x = 56,508,421,225/158,454
  6. Step 6: Final answer
    x = 356,623.51

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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.