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Finding the Third Proportional to 157,985 and 242,257

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Solution

The third proportional to 157,985 and 242,257 is: 371,481.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,985 : 242,257 = 242,257 : x
  2. Step 2: Convert to fraction form
    157,985/242,257 = 242,257/x
  3. Step 3: Cross multiply
    157,985x = 242,257 × 242,257
  4. Step 4: Simplify right side
    157,985x = 58,688,454,049
  5. Step 5: Solve for x
    x = 58,688,454,049/157,985
  6. Step 6: Final answer
    x = 371,481.18

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.