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Finding the Third Proportional to 179,119 and 392,703.50

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Solution

The third proportional to 179,119 and 392,703.50 is: 860,969.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,119 : 392,703.50 = 392,703.50 : x
  2. Step 2: Convert to fraction form
    179,119/392,703.50 = 392,703.50/x
  3. Step 3: Cross multiply
    179,119x = 392,703.50 × 392,703.50
  4. Step 4: Simplify right side
    179,119x = 154,216,038,912.25
  5. Step 5: Solve for x
    x = 154,216,038,912.25/179,119
  6. Step 6: Final answer
    x = 860,969.74

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.