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Finding the Third Proportional to 176,301 and 387,589.50

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Solution

The third proportional to 176,301 and 387,589.50 is: 852,097.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,301 : 387,589.50 = 387,589.50 : x
  2. Step 2: Convert to fraction form
    176,301/387,589.50 = 387,589.50/x
  3. Step 3: Cross multiply
    176,301x = 387,589.50 × 387,589.50
  4. Step 4: Simplify right side
    176,301x = 150,225,620,510.25
  5. Step 5: Solve for x
    x = 150,225,620,510.25/176,301
  6. Step 6: Final answer
    x = 852,097.38

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.