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Finding the Third Proportional to 156,542.50 and 341,030

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Solution

The third proportional to 156,542.50 and 341,030 is: 742,938.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,542.50 : 341,030 = 341,030 : x
  2. Step 2: Convert to fraction form
    156,542.50/341,030 = 341,030/x
  3. Step 3: Cross multiply
    156,542.50x = 341,030 × 341,030
  4. Step 4: Simplify right side
    156,542.50x = 116,301,460,900
  5. Step 5: Solve for x
    x = 116,301,460,900/156,542.50
  6. Step 6: Final answer
    x = 742,938.57

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Why These Related Problems?

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