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Finding the Third Proportional to 190,068 and 415,432

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Solution

The third proportional to 190,068 and 415,432 is: 908,010.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,068 : 415,432 = 415,432 : x
  2. Step 2: Convert to fraction form
    190,068/415,432 = 415,432/x
  3. Step 3: Cross multiply
    190,068x = 415,432 × 415,432
  4. Step 4: Simplify right side
    190,068x = 172,583,746,624
  5. Step 5: Solve for x
    x = 172,583,746,624/190,068
  6. Step 6: Final answer
    x = 908,010.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.