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Finding the Third Proportional to 180,401 and 391,543.50

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Solution

The third proportional to 180,401 and 391,543.50 is: 849,808.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,401 : 391,543.50 = 391,543.50 : x
  2. Step 2: Convert to fraction form
    180,401/391,543.50 = 391,543.50/x
  3. Step 3: Cross multiply
    180,401x = 391,543.50 × 391,543.50
  4. Step 4: Simplify right side
    180,401x = 153,306,312,392.25
  5. Step 5: Solve for x
    x = 153,306,312,392.25/180,401
  6. Step 6: Final answer
    x = 849,808.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.