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Finding the Third Proportional to 78,244.50 and 170,583

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Solution

The third proportional to 78,244.50 and 170,583 is: 371,892.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,244.50 : 170,583 = 170,583 : x
  2. Step 2: Convert to fraction form
    78,244.50/170,583 = 170,583/x
  3. Step 3: Cross multiply
    78,244.50x = 170,583 × 170,583
  4. Step 4: Simplify right side
    78,244.50x = 29,098,559,889
  5. Step 5: Solve for x
    x = 29,098,559,889/78,244.50
  6. Step 6: Final answer
    x = 371,892.72

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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.