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Finding the Third Proportional to 165,594 and 360,000

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Solution

The third proportional to 165,594 and 360,000 is: 782,637.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,594 : 360,000 = 360,000 : x
  2. Step 2: Convert to fraction form
    165,594/360,000 = 360,000/x
  3. Step 3: Cross multiply
    165,594x = 360,000 × 360,000
  4. Step 4: Simplify right side
    165,594x = 129,600,000,000
  5. Step 5: Solve for x
    x = 129,600,000,000/165,594
  6. Step 6: Final answer
    x = 782,637.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.