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Finding the Third Proportional to 174,160 and 260,564

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Solution

The third proportional to 174,160 and 260,564 is: 389,834.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,160 : 260,564 = 260,564 : x
  2. Step 2: Convert to fraction form
    174,160/260,564 = 260,564/x
  3. Step 3: Cross multiply
    174,160x = 260,564 × 260,564
  4. Step 4: Simplify right side
    174,160x = 67,893,598,096
  5. Step 5: Solve for x
    x = 67,893,598,096/174,160
  6. Step 6: Final answer
    x = 389,834.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.