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Finding the Third Proportional to 174,152 and 260,553

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Solution

The third proportional to 174,152 and 260,553 is: 389,819.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,152 : 260,553 = 260,553 : x
  2. Step 2: Convert to fraction form
    174,152/260,553 = 260,553/x
  3. Step 3: Cross multiply
    174,152x = 260,553 × 260,553
  4. Step 4: Simplify right side
    174,152x = 67,887,865,809
  5. Step 5: Solve for x
    x = 67,887,865,809/174,152
  6. Step 6: Final answer
    x = 389,819.62

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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.