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Finding the Third Proportional to 170,829 and 254,859.75

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Solution

The third proportional to 170,829 and 254,859.75 is: 380,225.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,829 : 254,859.75 = 254,859.75 : x
  2. Step 2: Convert to fraction form
    170,829/254,859.75 = 254,859.75/x
  3. Step 3: Cross multiply
    170,829x = 254,859.75 × 254,859.75
  4. Step 4: Simplify right side
    170,829x = 64,953,492,170.06
  5. Step 5: Solve for x
    x = 64,953,492,170.06/170,829
  6. Step 6: Final answer
    x = 380,225.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.