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Finding the Third Proportional to 157,560 and 236,457

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Solution

The third proportional to 157,560 and 236,457 is: 354,861.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,560 : 236,457 = 236,457 : x
  2. Step 2: Convert to fraction form
    157,560/236,457 = 236,457/x
  3. Step 3: Cross multiply
    157,560x = 236,457 × 236,457
  4. Step 4: Simplify right side
    157,560x = 55,911,912,849
  5. Step 5: Solve for x
    x = 55,911,912,849/157,560
  6. Step 6: Final answer
    x = 354,861.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.