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Finding the Third Proportional to 193,280 and 294,920

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Solution

The third proportional to 193,280 and 294,920 is: 450,009.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,280 : 294,920 = 294,920 : x
  2. Step 2: Convert to fraction form
    193,280/294,920 = 294,920/x
  3. Step 3: Cross multiply
    193,280x = 294,920 × 294,920
  4. Step 4: Simplify right side
    193,280x = 86,977,806,400
  5. Step 5: Solve for x
    x = 86,977,806,400/193,280
  6. Step 6: Final answer
    x = 450,009.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.