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Finding the Third Proportional to 153,284 and 228,982

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Solution

The third proportional to 153,284 and 228,982 is: 342,062.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,284 : 228,982 = 228,982 : x
  2. Step 2: Convert to fraction form
    153,284/228,982 = 228,982/x
  3. Step 3: Cross multiply
    153,284x = 228,982 × 228,982
  4. Step 4: Simplify right side
    153,284x = 52,432,756,324
  5. Step 5: Solve for x
    x = 52,432,756,324/153,284
  6. Step 6: Final answer
    x = 342,062.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.