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Finding the Third Proportional to 162,179.72 and 258,259.64

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Solution

The third proportional to 162,179.72 and 258,259.64 is: 411,260.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,179.72 : 258,259.64 = 258,259.64 : x
  2. Step 2: Convert to fraction form
    162,179.72/258,259.64 = 258,259.64/x
  3. Step 3: Cross multiply
    162,179.72x = 258,259.64 × 258,259.64
  4. Step 4: Simplify right side
    162,179.72x = 66,698,041,975.75
  5. Step 5: Solve for x
    x = 66,698,041,975.75/162,179.72
  6. Step 6: Final answer
    x = 411,260.07

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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.