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Finding the Third Proportional to 147,416.50 and 233,802

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Solution

The third proportional to 147,416.50 and 233,802 is: 370,809.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,416.50 : 233,802 = 233,802 : x
  2. Step 2: Convert to fraction form
    147,416.50/233,802 = 233,802/x
  3. Step 3: Cross multiply
    147,416.50x = 233,802 × 233,802
  4. Step 4: Simplify right side
    147,416.50x = 54,663,375,204
  5. Step 5: Solve for x
    x = 54,663,375,204/147,416.50
  6. Step 6: Final answer
    x = 370,809.07

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.