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Finding the Third Proportional to 210,970.50 and 281,821.50

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Solution

The third proportional to 210,970.50 and 281,821.50 is: 376,466.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,970.50 : 281,821.50 = 281,821.50 : x
  2. Step 2: Convert to fraction form
    210,970.50/281,821.50 = 281,821.50/x
  3. Step 3: Cross multiply
    210,970.50x = 281,821.50 × 281,821.50
  4. Step 4: Simplify right side
    210,970.50x = 79,423,357,862.25
  5. Step 5: Solve for x
    x = 79,423,357,862.25/210,970.50
  6. Step 6: Final answer
    x = 376,466.65

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.