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Finding the Third Proportional to 162,060.75 and 256,410

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Solution

The third proportional to 162,060.75 and 256,410 is: 405,687.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,060.75 : 256,410 = 256,410 : x
  2. Step 2: Convert to fraction form
    162,060.75/256,410 = 256,410/x
  3. Step 3: Cross multiply
    162,060.75x = 256,410 × 256,410
  4. Step 4: Simplify right side
    162,060.75x = 65,746,088,100
  5. Step 5: Solve for x
    x = 65,746,088,100/162,060.75
  6. Step 6: Final answer
    x = 405,687.92

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.