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Finding the Third Proportional to 175,864 and 260,516

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Solution

The third proportional to 175,864 and 260,516 is: 385,915.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,864 : 260,516 = 260,516 : x
  2. Step 2: Convert to fraction form
    175,864/260,516 = 260,516/x
  3. Step 3: Cross multiply
    175,864x = 260,516 × 260,516
  4. Step 4: Simplify right side
    175,864x = 67,868,586,256
  5. Step 5: Solve for x
    x = 67,868,586,256/175,864
  6. Step 6: Final answer
    x = 385,915.17

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.