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Finding the Third Proportional to 161,282 and 256,223

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Solution

The third proportional to 161,282 and 256,223 is: 407,052.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,282 : 256,223 = 256,223 : x
  2. Step 2: Convert to fraction form
    161,282/256,223 = 256,223/x
  3. Step 3: Cross multiply
    161,282x = 256,223 × 256,223
  4. Step 4: Simplify right side
    161,282x = 65,650,225,729
  5. Step 5: Solve for x
    x = 65,650,225,729/161,282
  6. Step 6: Final answer
    x = 407,052.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.