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Finding the Third Proportional to 160,962.19 and 256,219.03

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Solution

The third proportional to 160,962.19 and 256,219.03 is: 407,848.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,962.19 : 256,219.03 = 256,219.03 : x
  2. Step 2: Convert to fraction form
    160,962.19/256,219.03 = 256,219.03/x
  3. Step 3: Cross multiply
    160,962.19x = 256,219.03 × 256,219.03
  4. Step 4: Simplify right side
    160,962.19x = 65,648,191,974.69
  5. Step 5: Solve for x
    x = 65,648,191,974.69/160,962.19
  6. Step 6: Final answer
    x = 407,848.53

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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.