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Finding the Third Proportional to 193,095 and 420,516

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Solution

The third proportional to 193,095 and 420,516 is: 915,786.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,095 : 420,516 = 420,516 : x
  2. Step 2: Convert to fraction form
    193,095/420,516 = 420,516/x
  3. Step 3: Cross multiply
    193,095x = 420,516 × 420,516
  4. Step 4: Simplify right side
    193,095x = 176,833,706,256
  5. Step 5: Solve for x
    x = 176,833,706,256/193,095
  6. Step 6: Final answer
    x = 915,786.04

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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.