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Finding the Third Proportional to 180,578 and 373,492

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Solution

The third proportional to 180,578 and 373,492 is: 772,498.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,578 : 373,492 = 373,492 : x
  2. Step 2: Convert to fraction form
    180,578/373,492 = 373,492/x
  3. Step 3: Cross multiply
    180,578x = 373,492 × 373,492
  4. Step 4: Simplify right side
    180,578x = 139,496,274,064
  5. Step 5: Solve for x
    x = 139,496,274,064/180,578
  6. Step 6: Final answer
    x = 772,498.72

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.