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Finding the Third Proportional to 151,564 and 237,236

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Solution

The third proportional to 151,564 and 237,236 is: 371,334.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,564 : 237,236 = 237,236 : x
  2. Step 2: Convert to fraction form
    151,564/237,236 = 237,236/x
  3. Step 3: Cross multiply
    151,564x = 237,236 × 237,236
  4. Step 4: Simplify right side
    151,564x = 56,280,919,696
  5. Step 5: Solve for x
    x = 56,280,919,696/151,564
  6. Step 6: Final answer
    x = 371,334.35

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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.