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Finding the Third Proportional to 180,681 and 281,029.50

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Solution

The third proportional to 180,681 and 281,029.50 is: 437,110.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,681 : 281,029.50 = 281,029.50 : x
  2. Step 2: Convert to fraction form
    180,681/281,029.50 = 281,029.50/x
  3. Step 3: Cross multiply
    180,681x = 281,029.50 × 281,029.50
  4. Step 4: Simplify right side
    180,681x = 78,977,579,870.25
  5. Step 5: Solve for x
    x = 78,977,579,870.25/180,681
  6. Step 6: Final answer
    x = 437,110.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.