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Finding the Third Proportional to 174,712 and 363,248

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Solution

The third proportional to 174,712 and 363,248 is: 755,237.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,712 : 363,248 = 363,248 : x
  2. Step 2: Convert to fraction form
    174,712/363,248 = 363,248/x
  3. Step 3: Cross multiply
    174,712x = 363,248 × 363,248
  4. Step 4: Simplify right side
    174,712x = 131,949,109,504
  5. Step 5: Solve for x
    x = 131,949,109,504/174,712
  6. Step 6: Final answer
    x = 755,237.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.