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Finding the Third Proportional to 159,411 and 235,471.50

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Solution

The third proportional to 159,411 and 235,471.50 is: 347,823.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,411 : 235,471.50 = 235,471.50 : x
  2. Step 2: Convert to fraction form
    159,411/235,471.50 = 235,471.50/x
  3. Step 3: Cross multiply
    159,411x = 235,471.50 × 235,471.50
  4. Step 4: Simplify right side
    159,411x = 55,446,827,312.25
  5. Step 5: Solve for x
    x = 55,446,827,312.25/159,411
  6. Step 6: Final answer
    x = 347,823.09

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.