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Finding the Third Proportional to 174,681 and 374,265

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Solution

The third proportional to 174,681 and 374,265 is: 801,886.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,681 : 374,265 = 374,265 : x
  2. Step 2: Convert to fraction form
    174,681/374,265 = 374,265/x
  3. Step 3: Cross multiply
    174,681x = 374,265 × 374,265
  4. Step 4: Simplify right side
    174,681x = 140,074,290,225
  5. Step 5: Solve for x
    x = 140,074,290,225/174,681
  6. Step 6: Final answer
    x = 801,886.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.