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Finding the Third Proportional to 193,552 and 294,565

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Solution

The third proportional to 193,552 and 294,565 is: 448,295.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,552 : 294,565 = 294,565 : x
  2. Step 2: Convert to fraction form
    193,552/294,565 = 294,565/x
  3. Step 3: Cross multiply
    193,552x = 294,565 × 294,565
  4. Step 4: Simplify right side
    193,552x = 86,768,539,225
  5. Step 5: Solve for x
    x = 86,768,539,225/193,552
  6. Step 6: Final answer
    x = 448,295.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.