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Finding the Third Proportional to 228,253 and 343,069.50

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Solution

The third proportional to 228,253 and 343,069.50 is: 515,641.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,253 : 343,069.50 = 343,069.50 : x
  2. Step 2: Convert to fraction form
    228,253/343,069.50 = 343,069.50/x
  3. Step 3: Cross multiply
    228,253x = 343,069.50 × 343,069.50
  4. Step 4: Simplify right side
    228,253x = 117,696,681,830.25
  5. Step 5: Solve for x
    x = 117,696,681,830.25/228,253
  6. Step 6: Final answer
    x = 515,641.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.