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Finding the Third Proportional to 151,215 and 228,038

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Solution

The third proportional to 151,215 and 228,038 is: 343,890.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,215 : 228,038 = 228,038 : x
  2. Step 2: Convert to fraction form
    151,215/228,038 = 228,038/x
  3. Step 3: Cross multiply
    151,215x = 228,038 × 228,038
  4. Step 4: Simplify right side
    151,215x = 52,001,329,444
  5. Step 5: Solve for x
    x = 52,001,329,444/151,215
  6. Step 6: Final answer
    x = 343,890.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.