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Finding the Third Proportional to 145,233 and 228,217.50

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Solution

The third proportional to 145,233 and 228,217.50 is: 358,618.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,233 : 228,217.50 = 228,217.50 : x
  2. Step 2: Convert to fraction form
    145,233/228,217.50 = 228,217.50/x
  3. Step 3: Cross multiply
    145,233x = 228,217.50 × 228,217.50
  4. Step 4: Simplify right side
    145,233x = 52,083,227,306.25
  5. Step 5: Solve for x
    x = 52,083,227,306.25/145,233
  6. Step 6: Final answer
    x = 358,618.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.