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Finding the Third Proportional to 193,747 and 424,871

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Solution

The third proportional to 193,747 and 424,871 is: 931,706.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,747 : 424,871 = 424,871 : x
  2. Step 2: Convert to fraction form
    193,747/424,871 = 424,871/x
  3. Step 3: Cross multiply
    193,747x = 424,871 × 424,871
  4. Step 4: Simplify right side
    193,747x = 180,515,366,641
  5. Step 5: Solve for x
    x = 180,515,366,641/193,747
  6. Step 6: Final answer
    x = 931,706.64

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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.