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Finding the Third Proportional to 146,128.50 and 228,420

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Solution

The third proportional to 146,128.50 and 228,420 is: 357,053.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,128.50 : 228,420 = 228,420 : x
  2. Step 2: Convert to fraction form
    146,128.50/228,420 = 228,420/x
  3. Step 3: Cross multiply
    146,128.50x = 228,420 × 228,420
  4. Step 4: Simplify right side
    146,128.50x = 52,175,696,400
  5. Step 5: Solve for x
    x = 52,175,696,400/146,128.50
  6. Step 6: Final answer
    x = 357,053.53

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.