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Finding the Third Proportional to 157,531 and 212,236

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Solution

The third proportional to 157,531 and 212,236 is: 285,938.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,531 : 212,236 = 212,236 : x
  2. Step 2: Convert to fraction form
    157,531/212,236 = 212,236/x
  3. Step 3: Cross multiply
    157,531x = 212,236 × 212,236
  4. Step 4: Simplify right side
    157,531x = 45,044,119,696
  5. Step 5: Solve for x
    x = 45,044,119,696/157,531
  6. Step 6: Final answer
    x = 285,938.13

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.