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Finding the Third Proportional to 228,099 and 532,987.50

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Solution

The third proportional to 228,099 and 532,987.50 is: 1,245,405.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,099 : 532,987.50 = 532,987.50 : x
  2. Step 2: Convert to fraction form
    228,099/532,987.50 = 532,987.50/x
  3. Step 3: Cross multiply
    228,099x = 532,987.50 × 532,987.50
  4. Step 4: Simplify right side
    228,099x = 284,075,675,156.25
  5. Step 5: Solve for x
    x = 284,075,675,156.25/228,099
  6. Step 6: Final answer
    x = 1,245,405.18

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.