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Finding the Third Proportional to 194,220 and 424,465

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Solution

The third proportional to 194,220 and 424,465 is: 927,662.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,220 : 424,465 = 424,465 : x
  2. Step 2: Convert to fraction form
    194,220/424,465 = 424,465/x
  3. Step 3: Cross multiply
    194,220x = 424,465 × 424,465
  4. Step 4: Simplify right side
    194,220x = 180,170,536,225
  5. Step 5: Solve for x
    x = 180,170,536,225/194,220
  6. Step 6: Final answer
    x = 927,662.12

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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.