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Finding the Third Proportional to 185,700 and 287,068.50

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Solution

The third proportional to 185,700 and 287,068.50 is: 443,771.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,700 : 287,068.50 = 287,068.50 : x
  2. Step 2: Convert to fraction form
    185,700/287,068.50 = 287,068.50/x
  3. Step 3: Cross multiply
    185,700x = 287,068.50 × 287,068.50
  4. Step 4: Simplify right side
    185,700x = 82,408,323,692.25
  5. Step 5: Solve for x
    x = 82,408,323,692.25/185,700
  6. Step 6: Final answer
    x = 443,771.26

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.