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Finding the Third Proportional to 174,706.88 and 374,328.84

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Solution

The third proportional to 174,706.88 and 374,328.84 is: 802,041.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,706.88 : 374,328.84 = 374,328.84 : x
  2. Step 2: Convert to fraction form
    174,706.88/374,328.84 = 374,328.84/x
  3. Step 3: Cross multiply
    174,706.88x = 374,328.84 × 374,328.84
  4. Step 4: Simplify right side
    174,706.88x = 140,122,083,263.21
  5. Step 5: Solve for x
    x = 140,122,083,263.21/174,706.88
  6. Step 6: Final answer
    x = 802,041.04

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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.