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Finding the Third Proportional to 174,213 and 260,640

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Solution

The third proportional to 174,213 and 260,640 is: 389,943.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,213 : 260,640 = 260,640 : x
  2. Step 2: Convert to fraction form
    174,213/260,640 = 260,640/x
  3. Step 3: Cross multiply
    174,213x = 260,640 × 260,640
  4. Step 4: Simplify right side
    174,213x = 67,933,209,600
  5. Step 5: Solve for x
    x = 67,933,209,600/174,213
  6. Step 6: Final answer
    x = 389,943.40

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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.