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Finding the Third Proportional to 156,384.50 and 341,447

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Solution

The third proportional to 156,384.50 and 341,447 is: 745,509.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,384.50 : 341,447 = 341,447 : x
  2. Step 2: Convert to fraction form
    156,384.50/341,447 = 341,447/x
  3. Step 3: Cross multiply
    156,384.50x = 341,447 × 341,447
  4. Step 4: Simplify right side
    156,384.50x = 116,586,053,809
  5. Step 5: Solve for x
    x = 116,586,053,809/156,384.50
  6. Step 6: Final answer
    x = 745,509.01

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.