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Finding the Third Proportional to 156,069.75 and 341,032.50

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Solution

The third proportional to 156,069.75 and 341,032.50 is: 745,199.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,069.75 : 341,032.50 = 341,032.50 : x
  2. Step 2: Convert to fraction form
    156,069.75/341,032.50 = 341,032.50/x
  3. Step 3: Cross multiply
    156,069.75x = 341,032.50 × 341,032.50
  4. Step 4: Simplify right side
    156,069.75x = 116,303,166,056.25
  5. Step 5: Solve for x
    x = 116,303,166,056.25/156,069.75
  6. Step 6: Final answer
    x = 745,199.93

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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.