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Finding the Third Proportional to 213,672 and 309,492

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Solution

The third proportional to 213,672 and 309,492 is: 448,281.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,672 : 309,492 = 309,492 : x
  2. Step 2: Convert to fraction form
    213,672/309,492 = 309,492/x
  3. Step 3: Cross multiply
    213,672x = 309,492 × 309,492
  4. Step 4: Simplify right side
    213,672x = 95,785,298,064
  5. Step 5: Solve for x
    x = 95,785,298,064/213,672
  6. Step 6: Final answer
    x = 448,281.94

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.