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Finding the Third Proportional to 79,411 and 174,565

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Solution

The third proportional to 79,411 and 174,565 is: 383,737.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,411 : 174,565 = 174,565 : x
  2. Step 2: Convert to fraction form
    79,411/174,565 = 174,565/x
  3. Step 3: Cross multiply
    79,411x = 174,565 × 174,565
  4. Step 4: Simplify right side
    79,411x = 30,472,939,225
  5. Step 5: Solve for x
    x = 30,472,939,225/79,411
  6. Step 6: Final answer
    x = 383,737.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.