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Finding the Third Proportional to 159,959 and 370,311.50

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Solution

The third proportional to 159,959 and 370,311.50 is: 857,285.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,959 : 370,311.50 = 370,311.50 : x
  2. Step 2: Convert to fraction form
    159,959/370,311.50 = 370,311.50/x
  3. Step 3: Cross multiply
    159,959x = 370,311.50 × 370,311.50
  4. Step 4: Simplify right side
    159,959x = 137,130,607,032.25
  5. Step 5: Solve for x
    x = 137,130,607,032.25/159,959
  6. Step 6: Final answer
    x = 857,285.97

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.