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Finding the Third Proportional to 194,316 and 424,650

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Solution

The third proportional to 194,316 and 424,650 is: 928,012.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,316 : 424,650 = 424,650 : x
  2. Step 2: Convert to fraction form
    194,316/424,650 = 424,650/x
  3. Step 3: Cross multiply
    194,316x = 424,650 × 424,650
  4. Step 4: Simplify right side
    194,316x = 180,327,622,500
  5. Step 5: Solve for x
    x = 180,327,622,500/194,316
  6. Step 6: Final answer
    x = 928,012.22

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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.