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Finding the Third Proportional to 193,584 and 424,560

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Solution

The third proportional to 193,584 and 424,560 is: 931,126.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,584 : 424,560 = 424,560 : x
  2. Step 2: Convert to fraction form
    193,584/424,560 = 424,560/x
  3. Step 3: Cross multiply
    193,584x = 424,560 × 424,560
  4. Step 4: Simplify right side
    193,584x = 180,251,193,600
  5. Step 5: Solve for x
    x = 180,251,193,600/193,584
  6. Step 6: Final answer
    x = 931,126.51

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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.