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Finding the Third Proportional to 151,156.13 and 228,435.19

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Solution

The third proportional to 151,156.13 and 228,435.19 is: 345,223.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,156.13 : 228,435.19 = 228,435.19 : x
  2. Step 2: Convert to fraction form
    151,156.13/228,435.19 = 228,435.19/x
  3. Step 3: Cross multiply
    151,156.13x = 228,435.19 × 228,435.19
  4. Step 4: Simplify right side
    151,156.13x = 52,182,634,888.16
  5. Step 5: Solve for x
    x = 52,182,634,888.16/151,156.13
  6. Step 6: Final answer
    x = 345,223.42

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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.