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Finding the Third Proportional to 159,174 and 238,747.50

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Solution

The third proportional to 159,174 and 238,747.50 is: 358,101.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,174 : 238,747.50 = 238,747.50 : x
  2. Step 2: Convert to fraction form
    159,174/238,747.50 = 238,747.50/x
  3. Step 3: Cross multiply
    159,174x = 238,747.50 × 238,747.50
  4. Step 4: Simplify right side
    159,174x = 57,000,368,756.25
  5. Step 5: Solve for x
    x = 57,000,368,756.25/159,174
  6. Step 6: Final answer
    x = 358,101.00

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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.