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Finding the Third Proportional to 238,864.50 and 366,588

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Solution

The third proportional to 238,864.50 and 366,588 is: 562,606.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,864.50 : 366,588 = 366,588 : x
  2. Step 2: Convert to fraction form
    238,864.50/366,588 = 366,588/x
  3. Step 3: Cross multiply
    238,864.50x = 366,588 × 366,588
  4. Step 4: Simplify right side
    238,864.50x = 134,386,761,744
  5. Step 5: Solve for x
    x = 134,386,761,744/238,864.50
  6. Step 6: Final answer
    x = 562,606.67

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.