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Finding the Third Proportional to 180,594 and 391,320

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Solution

The third proportional to 180,594 and 391,320 is: 847,931.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,594 : 391,320 = 391,320 : x
  2. Step 2: Convert to fraction form
    180,594/391,320 = 391,320/x
  3. Step 3: Cross multiply
    180,594x = 391,320 × 391,320
  4. Step 4: Simplify right side
    180,594x = 153,131,342,400
  5. Step 5: Solve for x
    x = 153,131,342,400/180,594
  6. Step 6: Final answer
    x = 847,931.51

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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.