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Finding the Third Proportional to 158,082 and 237,128

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Solution

The third proportional to 158,082 and 237,128 is: 355,699.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,082 : 237,128 = 237,128 : x
  2. Step 2: Convert to fraction form
    158,082/237,128 = 237,128/x
  3. Step 3: Cross multiply
    158,082x = 237,128 × 237,128
  4. Step 4: Simplify right side
    158,082x = 56,229,688,384
  5. Step 5: Solve for x
    x = 56,229,688,384/158,082
  6. Step 6: Final answer
    x = 355,699.50

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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.