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Finding the Third Proportional to 243,958.50 and 380,692.50

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Solution

The third proportional to 243,958.50 and 380,692.50 is: 594,063.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,958.50 : 380,692.50 = 380,692.50 : x
  2. Step 2: Convert to fraction form
    243,958.50/380,692.50 = 380,692.50/x
  3. Step 3: Cross multiply
    243,958.50x = 380,692.50 × 380,692.50
  4. Step 4: Simplify right side
    243,958.50x = 144,926,779,556.25
  5. Step 5: Solve for x
    x = 144,926,779,556.25/243,958.50
  6. Step 6: Final answer
    x = 594,063.25

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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.