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Finding the Third Proportional to 156,532.50 and 341,010

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Solution

The third proportional to 156,532.50 and 341,010 is: 742,898.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,532.50 : 341,010 = 341,010 : x
  2. Step 2: Convert to fraction form
    156,532.50/341,010 = 341,010/x
  3. Step 3: Cross multiply
    156,532.50x = 341,010 × 341,010
  4. Step 4: Simplify right side
    156,532.50x = 116,287,820,100
  5. Step 5: Solve for x
    x = 116,287,820,100/156,532.50
  6. Step 6: Final answer
    x = 742,898.89

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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.