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Finding the Third Proportional to 193,650 and 424,628

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Solution

The third proportional to 193,650 and 424,628 is: 931,107.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,650 : 424,628 = 424,628 : x
  2. Step 2: Convert to fraction form
    193,650/424,628 = 424,628/x
  3. Step 3: Cross multiply
    193,650x = 424,628 × 424,628
  4. Step 4: Simplify right side
    193,650x = 180,308,938,384
  5. Step 5: Solve for x
    x = 180,308,938,384/193,650
  6. Step 6: Final answer
    x = 931,107.35

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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.